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Finding the Third Proportional to 527,206 and 817,026

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Solution

The third proportional to 527,206 and 817,026 is: 1,266,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,206 : 817,026 = 817,026 : x
  2. Step 2: Convert to fraction form
    527,206/817,026 = 817,026/x
  3. Step 3: Cross multiply
    527,206x = 817,026 × 817,026
  4. Step 4: Simplify right side
    527,206x = 667,531,484,676
  5. Step 5: Solve for x
    x = 667,531,484,676/527,206
  6. Step 6: Final answer
    x = 1,266,168.22

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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.