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Finding the Third Proportional to 584,831 and 881,567

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Solution

The third proportional to 584,831 and 881,567 is: 1,328,863.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,831 : 881,567 = 881,567 : x
  2. Step 2: Convert to fraction form
    584,831/881,567 = 881,567/x
  3. Step 3: Cross multiply
    584,831x = 881,567 × 881,567
  4. Step 4: Simplify right side
    584,831x = 777,160,375,489
  5. Step 5: Solve for x
    x = 777,160,375,489/584,831
  6. Step 6: Final answer
    x = 1,328,863.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.