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Finding the Third Proportional to 247,258 and 372,040

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Solution

The third proportional to 247,258 and 372,040 is: 559,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,258 : 372,040 = 372,040 : x
  2. Step 2: Convert to fraction form
    247,258/372,040 = 372,040/x
  3. Step 3: Cross multiply
    247,258x = 372,040 × 372,040
  4. Step 4: Simplify right side
    247,258x = 138,413,761,600
  5. Step 5: Solve for x
    x = 138,413,761,600/247,258
  6. Step 6: Final answer
    x = 559,794.88

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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.