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Finding the Third Proportional to 252,358.88 and 387,892.69

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Solution

The third proportional to 252,358.88 and 387,892.69 is: 596,217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,358.88 : 387,892.69 = 387,892.69 : x
  2. Step 2: Convert to fraction form
    252,358.88/387,892.69 = 387,892.69/x
  3. Step 3: Cross multiply
    252,358.88x = 387,892.69 × 387,892.69
  4. Step 4: Simplify right side
    252,358.88x = 150,460,737,015.97
  5. Step 5: Solve for x
    x = 150,460,737,015.97/252,358.88
  6. Step 6: Final answer
    x = 596,217.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.