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Finding the Third Proportional to 337,171.36 and 722,436.47

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Solution

The third proportional to 337,171.36 and 722,436.47 is: 1,547,920.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,171.36 : 722,436.47 = 722,436.47 : x
  2. Step 2: Convert to fraction form
    337,171.36/722,436.47 = 722,436.47/x
  3. Step 3: Cross multiply
    337,171.36x = 722,436.47 × 722,436.47
  4. Step 4: Simplify right side
    337,171.36x = 521,914,451,379.97
  5. Step 5: Solve for x
    x = 521,914,451,379.97/337,171.36
  6. Step 6: Final answer
    x = 1,547,920.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.