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Finding the Third Proportional to 527,238 and 817,074

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Solution

The third proportional to 527,238 and 817,074 is: 1,266,240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,238 : 817,074 = 817,074 : x
  2. Step 2: Convert to fraction form
    527,238/817,074 = 817,074/x
  3. Step 3: Cross multiply
    527,238x = 817,074 × 817,074
  4. Step 4: Simplify right side
    527,238x = 667,609,921,476
  5. Step 5: Solve for x
    x = 667,609,921,476/527,238
  6. Step 6: Final answer
    x = 1,266,240.14

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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.