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Finding the Third Proportional to 337,233.38 and 698,240.25

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Solution

The third proportional to 337,233.38 and 698,240.25 is: 1,445,703.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,233.38 : 698,240.25 = 698,240.25 : x
  2. Step 2: Convert to fraction form
    337,233.38/698,240.25 = 698,240.25/x
  3. Step 3: Cross multiply
    337,233.38x = 698,240.25 × 698,240.25
  4. Step 4: Simplify right side
    337,233.38x = 487,539,446,720.06
  5. Step 5: Solve for x
    x = 487,539,446,720.06/337,233.38
  6. Step 6: Final answer
    x = 1,445,703.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.