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Finding the Third Proportional to 337,400.44 and 712,729.13

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Solution

The third proportional to 337,400.44 and 712,729.13 is: 1,505,578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,400.44 : 712,729.13 = 712,729.13 : x
  2. Step 2: Convert to fraction form
    337,400.44/712,729.13 = 712,729.13/x
  3. Step 3: Cross multiply
    337,400.44x = 712,729.13 × 712,729.13
  4. Step 4: Simplify right side
    337,400.44x = 507,982,805,623.27
  5. Step 5: Solve for x
    x = 507,982,805,623.27/337,400.44
  6. Step 6: Final answer
    x = 1,505,578.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.