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Finding the Third Proportional to 527,242 and 817,080

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Solution

The third proportional to 527,242 and 817,080 is: 1,266,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,242 : 817,080 = 817,080 : x
  2. Step 2: Convert to fraction form
    527,242/817,080 = 817,080/x
  3. Step 3: Cross multiply
    527,242x = 817,080 × 817,080
  4. Step 4: Simplify right side
    527,242x = 667,619,726,400
  5. Step 5: Solve for x
    x = 667,619,726,400/527,242
  6. Step 6: Final answer
    x = 1,266,249.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.