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Finding the Third Proportional to 585,876 and 878,817

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Solution

The third proportional to 585,876 and 878,817 is: 1,318,230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,876 : 878,817 = 878,817 : x
  2. Step 2: Convert to fraction form
    585,876/878,817 = 878,817/x
  3. Step 3: Cross multiply
    585,876x = 878,817 × 878,817
  4. Step 4: Simplify right side
    585,876x = 772,319,319,489
  5. Step 5: Solve for x
    x = 772,319,319,489/585,876
  6. Step 6: Final answer
    x = 1,318,230.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.