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Finding the Third Proportional to 292,042.97 and 426,581.44

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Solution

The third proportional to 292,042.97 and 426,581.44 is: 623,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,042.97 : 426,581.44 = 426,581.44 : x
  2. Step 2: Convert to fraction form
    292,042.97/426,581.44 = 426,581.44/x
  3. Step 3: Cross multiply
    292,042.97x = 426,581.44 × 426,581.44
  4. Step 4: Simplify right side
    292,042.97x = 181,971,722,819.57
  5. Step 5: Solve for x
    x = 181,971,722,819.57/292,042.97
  6. Step 6: Final answer
    x = 623,099.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.