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Finding the Third Proportional to 266,061 and 391,311

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Solution

The third proportional to 266,061 and 391,311 is: 575,523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,061 : 391,311 = 391,311 : x
  2. Step 2: Convert to fraction form
    266,061/391,311 = 391,311/x
  3. Step 3: Cross multiply
    266,061x = 391,311 × 391,311
  4. Step 4: Simplify right side
    266,061x = 153,124,298,721
  5. Step 5: Solve for x
    x = 153,124,298,721/266,061
  6. Step 6: Final answer
    x = 575,523.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.