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Finding the Third Proportional to 252,820.13 and 541,621.13

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Solution

The third proportional to 252,820.13 and 541,621.13 is: 1,160,324.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,820.13 : 541,621.13 = 541,621.13 : x
  2. Step 2: Convert to fraction form
    252,820.13/541,621.13 = 541,621.13/x
  3. Step 3: Cross multiply
    252,820.13x = 541,621.13 × 541,621.13
  4. Step 4: Simplify right side
    252,820.13x = 293,353,443,046.27
  5. Step 5: Solve for x
    x = 293,353,443,046.27/252,820.13
  6. Step 6: Final answer
    x = 1,160,324.73

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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.