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Finding the Third Proportional to 337,932 and 472,449

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Solution

The third proportional to 337,932 and 472,449 is: 660,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,932 : 472,449 = 472,449 : x
  2. Step 2: Convert to fraction form
    337,932/472,449 = 472,449/x
  3. Step 3: Cross multiply
    337,932x = 472,449 × 472,449
  4. Step 4: Simplify right side
    337,932x = 223,208,057,601
  5. Step 5: Solve for x
    x = 223,208,057,601/337,932
  6. Step 6: Final answer
    x = 660,511.75

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