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Finding the Third Proportional to 252,301.50 and 548,785.13

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Solution

The third proportional to 252,301.50 and 548,785.13 is: 1,193,671.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,301.50 : 548,785.13 = 548,785.13 : x
  2. Step 2: Convert to fraction form
    252,301.50/548,785.13 = 548,785.13/x
  3. Step 3: Cross multiply
    252,301.50x = 548,785.13 × 548,785.13
  4. Step 4: Simplify right side
    252,301.50x = 301,165,113,421.27
  5. Step 5: Solve for x
    x = 301,165,113,421.27/252,301.50
  6. Step 6: Final answer
    x = 1,193,671.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.