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Finding the Third Proportional to 476,756 and 706,894

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Solution

The third proportional to 476,756 and 706,894 is: 1,048,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,756 : 706,894 = 706,894 : x
  2. Step 2: Convert to fraction form
    476,756/706,894 = 706,894/x
  3. Step 3: Cross multiply
    476,756x = 706,894 × 706,894
  4. Step 4: Simplify right side
    476,756x = 499,699,127,236
  5. Step 5: Solve for x
    x = 499,699,127,236/476,756
  6. Step 6: Final answer
    x = 1,048,123.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.