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Finding the Third Proportional to 126,384 and 292,584

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Solution

The third proportional to 126,384 and 292,584 is: 677,343.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,384 : 292,584 = 292,584 : x
  2. Step 2: Convert to fraction form
    126,384/292,584 = 292,584/x
  3. Step 3: Cross multiply
    126,384x = 292,584 × 292,584
  4. Step 4: Simplify right side
    126,384x = 85,605,397,056
  5. Step 5: Solve for x
    x = 85,605,397,056/126,384
  6. Step 6: Final answer
    x = 677,343.63

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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.