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Finding the Third Proportional to 344,668 and 757,372

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Solution

The third proportional to 344,668 and 757,372 is: 1,664,246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,668 : 757,372 = 757,372 : x
  2. Step 2: Convert to fraction form
    344,668/757,372 = 757,372/x
  3. Step 3: Cross multiply
    344,668x = 757,372 × 757,372
  4. Step 4: Simplify right side
    344,668x = 573,612,346,384
  5. Step 5: Solve for x
    x = 573,612,346,384/344,668
  6. Step 6: Final answer
    x = 1,664,246.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.