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Finding the Third Proportional to 266,098 and 571,566

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Solution

The third proportional to 266,098 and 571,566 is: 1,227,696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,098 : 571,566 = 571,566 : x
  2. Step 2: Convert to fraction form
    266,098/571,566 = 571,566/x
  3. Step 3: Cross multiply
    266,098x = 571,566 × 571,566
  4. Step 4: Simplify right side
    266,098x = 326,687,692,356
  5. Step 5: Solve for x
    x = 326,687,692,356/266,098
  6. Step 6: Final answer
    x = 1,227,696.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.