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Finding the Third Proportional to 261,693 and 415,057.50

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Solution

The third proportional to 261,693 and 415,057.50 is: 658,300.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,693 : 415,057.50 = 415,057.50 : x
  2. Step 2: Convert to fraction form
    261,693/415,057.50 = 415,057.50/x
  3. Step 3: Cross multiply
    261,693x = 415,057.50 × 415,057.50
  4. Step 4: Simplify right side
    261,693x = 172,272,728,306.25
  5. Step 5: Solve for x
    x = 172,272,728,306.25/261,693
  6. Step 6: Final answer
    x = 658,300.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.