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Finding the Third Proportional to 252,649.50 and 381,607.13

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Solution

The third proportional to 252,649.50 and 381,607.13 is: 576,387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,649.50 : 381,607.13 = 381,607.13 : x
  2. Step 2: Convert to fraction form
    252,649.50/381,607.13 = 381,607.13/x
  3. Step 3: Cross multiply
    252,649.50x = 381,607.13 × 381,607.13
  4. Step 4: Simplify right side
    252,649.50x = 145,623,997,850.77
  5. Step 5: Solve for x
    x = 145,623,997,850.77/252,649.50
  6. Step 6: Final answer
    x = 576,387.44

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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.