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Finding the Third Proportional to 250,244.44 and 387,807.12

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Solution

The third proportional to 250,244.44 and 387,807.12 is: 600,989.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,244.44 : 387,807.12 = 387,807.12 : x
  2. Step 2: Convert to fraction form
    250,244.44/387,807.12 = 387,807.12/x
  3. Step 3: Cross multiply
    250,244.44x = 387,807.12 × 387,807.12
  4. Step 4: Simplify right side
    250,244.44x = 150,394,360,141.28
  5. Step 5: Solve for x
    x = 150,394,360,141.28/250,244.44
  6. Step 6: Final answer
    x = 600,989.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.