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Finding the Third Proportional to 527,210 and 817,032

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Solution

The third proportional to 527,210 and 817,032 is: 1,266,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,210 : 817,032 = 817,032 : x
  2. Step 2: Convert to fraction form
    527,210/817,032 = 817,032/x
  3. Step 3: Cross multiply
    527,210x = 817,032 × 817,032
  4. Step 4: Simplify right side
    527,210x = 667,541,289,024
  5. Step 5: Solve for x
    x = 667,541,289,024/527,210
  6. Step 6: Final answer
    x = 1,266,177.21

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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.