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Finding the Third Proportional to 337,372.50 and 698,617.50

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Solution

The third proportional to 337,372.50 and 698,617.50 is: 1,446,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,372.50 : 698,617.50 = 698,617.50 : x
  2. Step 2: Convert to fraction form
    337,372.50/698,617.50 = 698,617.50/x
  3. Step 3: Cross multiply
    337,372.50x = 698,617.50 × 698,617.50
  4. Step 4: Simplify right side
    337,372.50x = 488,066,411,306.25
  5. Step 5: Solve for x
    x = 488,066,411,306.25/337,372.50
  6. Step 6: Final answer
    x = 1,446,669.22

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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.