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Finding the Third Proportional to 346,923,663.75 and 757,420,306.88

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Solution

The third proportional to 346,923,663.75 and 757,420,306.88 is: 1,653,636,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,923,663.75 : 757,420,306.88 = 757,420,306.88 : x
  2. Step 2: Convert to fraction form
    346,923,663.75/757,420,306.88 = 757,420,306.88/x
  3. Step 3: Cross multiply
    346,923,663.75x = 757,420,306.88 × 757,420,306.88
  4. Step 4: Simplify right side
    346,923,663.75x = 573,685,521,266,619,200
  5. Step 5: Solve for x
    x = 573,685,521,266,619,200/346,923,663.75
  6. Step 6: Final answer
    x = 1,653,636,177.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.