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Finding the Third Proportional to 527,256 and 817,096

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Solution

The third proportional to 527,256 and 817,096 is: 1,266,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,256 : 817,096 = 817,096 : x
  2. Step 2: Convert to fraction form
    527,256/817,096 = 817,096/x
  3. Step 3: Cross multiply
    527,256x = 817,096 × 817,096
  4. Step 4: Simplify right side
    527,256x = 667,645,873,216
  5. Step 5: Solve for x
    x = 667,645,873,216/527,256
  6. Step 6: Final answer
    x = 1,266,265.10

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