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Finding the Third Proportional to 252,649.13 and 379,998.84

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Solution

The third proportional to 252,649.13 and 379,998.84 is: 571,540.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,649.13 : 379,998.84 = 379,998.84 : x
  2. Step 2: Convert to fraction form
    252,649.13/379,998.84 = 379,998.84/x
  3. Step 3: Cross multiply
    252,649.13x = 379,998.84 × 379,998.84
  4. Step 4: Simplify right side
    252,649.13x = 144,399,121,251.34
  5. Step 5: Solve for x
    x = 144,399,121,251.34/252,649.13
  6. Step 6: Final answer
    x = 571,540.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.