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Finding the Third Proportional to 363,098 and 552,327

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Solution

The third proportional to 363,098 and 552,327 is: 840,172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,098 : 552,327 = 552,327 : x
  2. Step 2: Convert to fraction form
    363,098/552,327 = 552,327/x
  3. Step 3: Cross multiply
    363,098x = 552,327 × 552,327
  4. Step 4: Simplify right side
    363,098x = 305,065,114,929
  5. Step 5: Solve for x
    x = 305,065,114,929/363,098
  6. Step 6: Final answer
    x = 840,172.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.