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Finding the Third Proportional to 527,202 and 817,047

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Solution

The third proportional to 527,202 and 817,047 is: 1,266,242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,202 : 817,047 = 817,047 : x
  2. Step 2: Convert to fraction form
    527,202/817,047 = 817,047/x
  3. Step 3: Cross multiply
    527,202x = 817,047 × 817,047
  4. Step 4: Simplify right side
    527,202x = 667,565,800,209
  5. Step 5: Solve for x
    x = 667,565,800,209/527,202
  6. Step 6: Final answer
    x = 1,266,242.92

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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.