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Finding the Third Proportional to 584,800 and 881,518

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Solution

The third proportional to 584,800 and 881,518 is: 1,328,785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,800 : 881,518 = 881,518 : x
  2. Step 2: Convert to fraction form
    584,800/881,518 = 881,518/x
  3. Step 3: Cross multiply
    584,800x = 881,518 × 881,518
  4. Step 4: Simplify right side
    584,800x = 777,073,984,324
  5. Step 5: Solve for x
    x = 777,073,984,324/584,800
  6. Step 6: Final answer
    x = 1,328,785.88

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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.