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Finding the Third Proportional to 526,882 and 817,350

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Solution

The third proportional to 526,882 and 817,350 is: 1,267,951.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,882 : 817,350 = 817,350 : x
  2. Step 2: Convert to fraction form
    526,882/817,350 = 817,350/x
  3. Step 3: Cross multiply
    526,882x = 817,350 × 817,350
  4. Step 4: Simplify right side
    526,882x = 668,061,022,500
  5. Step 5: Solve for x
    x = 668,061,022,500/526,882
  6. Step 6: Final answer
    x = 1,267,951.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.