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Finding the Third Proportional to 337,929 and 472,446

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Solution

The third proportional to 337,929 and 472,446 is: 660,509.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,929 : 472,446 = 472,446 : x
  2. Step 2: Convert to fraction form
    337,929/472,446 = 472,446/x
  3. Step 3: Cross multiply
    337,929x = 472,446 × 472,446
  4. Step 4: Simplify right side
    337,929x = 223,205,222,916
  5. Step 5: Solve for x
    x = 223,205,222,916/337,929
  6. Step 6: Final answer
    x = 660,509.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.