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Finding the Third Proportional to 126,386 and 292,589

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Solution

The third proportional to 126,386 and 292,589 is: 677,356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,386 : 292,589 = 292,589 : x
  2. Step 2: Convert to fraction form
    126,386/292,589 = 292,589/x
  3. Step 3: Cross multiply
    126,386x = 292,589 × 292,589
  4. Step 4: Simplify right side
    126,386x = 85,608,322,921
  5. Step 5: Solve for x
    x = 85,608,322,921/126,386
  6. Step 6: Final answer
    x = 677,356.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.