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Finding the Third Proportional to 337,899 and 472,402.50

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Solution

The third proportional to 337,899 and 472,402.50 is: 660,446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,899 : 472,402.50 = 472,402.50 : x
  2. Step 2: Convert to fraction form
    337,899/472,402.50 = 472,402.50/x
  3. Step 3: Cross multiply
    337,899x = 472,402.50 × 472,402.50
  4. Step 4: Simplify right side
    337,899x = 223,164,122,006.25
  5. Step 5: Solve for x
    x = 223,164,122,006.25/337,899
  6. Step 6: Final answer
    x = 660,446.23

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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.