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Finding the Third Proportional to 415,970 and 658,098

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Solution

The third proportional to 415,970 and 658,098 is: 1,041,163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,970 : 658,098 = 658,098 : x
  2. Step 2: Convert to fraction form
    415,970/658,098 = 658,098/x
  3. Step 3: Cross multiply
    415,970x = 658,098 × 658,098
  4. Step 4: Simplify right side
    415,970x = 433,092,977,604
  5. Step 5: Solve for x
    x = 433,092,977,604/415,970
  6. Step 6: Final answer
    x = 1,041,163.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.