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Finding the Third Proportional to 577,117.88 and 862,446.75

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Solution

The third proportional to 577,117.88 and 862,446.75 is: 1,288,843.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,117.88 : 862,446.75 = 862,446.75 : x
  2. Step 2: Convert to fraction form
    577,117.88/862,446.75 = 862,446.75/x
  3. Step 3: Cross multiply
    577,117.88x = 862,446.75 × 862,446.75
  4. Step 4: Simplify right side
    577,117.88x = 743,814,396,585.56
  5. Step 5: Solve for x
    x = 743,814,396,585.56/577,117.88
  6. Step 6: Final answer
    x = 1,288,843.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.