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Finding the Third Proportional to 126,424 and 292,672

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Solution

The third proportional to 126,424 and 292,672 is: 677,536.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,424 : 292,672 = 292,672 : x
  2. Step 2: Convert to fraction form
    126,424/292,672 = 292,672/x
  3. Step 3: Cross multiply
    126,424x = 292,672 × 292,672
  4. Step 4: Simplify right side
    126,424x = 85,656,899,584
  5. Step 5: Solve for x
    x = 85,656,899,584/126,424
  6. Step 6: Final answer
    x = 677,536.70

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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.