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Finding the Third Proportional to 252,726 and 394,293

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Solution

The third proportional to 252,726 and 394,293 is: 615,160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,726 : 394,293 = 394,293 : x
  2. Step 2: Convert to fraction form
    252,726/394,293 = 394,293/x
  3. Step 3: Cross multiply
    252,726x = 394,293 × 394,293
  4. Step 4: Simplify right side
    252,726x = 155,466,969,849
  5. Step 5: Solve for x
    x = 155,466,969,849/252,726
  6. Step 6: Final answer
    x = 615,160.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.