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Finding the Third Proportional to 527,268 and 817,114

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Solution

The third proportional to 527,268 and 817,114 is: 1,266,292.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,268 : 817,114 = 817,114 : x
  2. Step 2: Convert to fraction form
    527,268/817,114 = 817,114/x
  3. Step 3: Cross multiply
    527,268x = 817,114 × 817,114
  4. Step 4: Simplify right side
    527,268x = 667,675,288,996
  5. Step 5: Solve for x
    x = 667,675,288,996/527,268
  6. Step 6: Final answer
    x = 1,266,292.07

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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.