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Finding the Third Proportional to 252,909 and 541,694.25

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Solution

The third proportional to 252,909 and 541,694.25 is: 1,160,230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,909 : 541,694.25 = 541,694.25 : x
  2. Step 2: Convert to fraction form
    252,909/541,694.25 = 541,694.25/x
  3. Step 3: Cross multiply
    252,909x = 541,694.25 × 541,694.25
  4. Step 4: Simplify right side
    252,909x = 293,432,660,483.06
  5. Step 5: Solve for x
    x = 293,432,660,483.06/252,909
  6. Step 6: Final answer
    x = 1,160,230.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.