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Finding the Third Proportional to 527,264 and 817,108

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Solution

The third proportional to 527,264 and 817,108 is: 1,266,283.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,264 : 817,108 = 817,108 : x
  2. Step 2: Convert to fraction form
    527,264/817,108 = 817,108/x
  3. Step 3: Cross multiply
    527,264x = 817,108 × 817,108
  4. Step 4: Simplify right side
    527,264x = 667,665,483,664
  5. Step 5: Solve for x
    x = 667,665,483,664/527,264
  6. Step 6: Final answer
    x = 1,266,283.08

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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.