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Finding the Third Proportional to 266,098 and 574,404

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Solution

The third proportional to 266,098 and 574,404 is: 1,239,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,098 : 574,404 = 574,404 : x
  2. Step 2: Convert to fraction form
    266,098/574,404 = 574,404/x
  3. Step 3: Cross multiply
    266,098x = 574,404 × 574,404
  4. Step 4: Simplify right side
    266,098x = 329,939,955,216
  5. Step 5: Solve for x
    x = 329,939,955,216/266,098
  6. Step 6: Final answer
    x = 1,239,918.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.