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Finding the Third Proportional to 266,376 and 402,327

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Solution

The third proportional to 266,376 and 402,327 is: 607,663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,376 : 402,327 = 402,327 : x
  2. Step 2: Convert to fraction form
    266,376/402,327 = 402,327/x
  3. Step 3: Cross multiply
    266,376x = 402,327 × 402,327
  4. Step 4: Simplify right side
    266,376x = 161,867,014,929
  5. Step 5: Solve for x
    x = 161,867,014,929/266,376
  6. Step 6: Final answer
    x = 607,663.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.