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Finding the Third Proportional to 266,722 and 581,374

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Solution

The third proportional to 266,722 and 581,374 is: 1,267,221.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,722 : 581,374 = 581,374 : x
  2. Step 2: Convert to fraction form
    266,722/581,374 = 581,374/x
  3. Step 3: Cross multiply
    266,722x = 581,374 × 581,374
  4. Step 4: Simplify right side
    266,722x = 337,995,727,876
  5. Step 5: Solve for x
    x = 337,995,727,876/266,722
  6. Step 6: Final answer
    x = 1,267,221.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.