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Finding the Third Proportional to 577,118.63 and 862,447.88

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Solution

The third proportional to 577,118.63 and 862,447.88 is: 1,288,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,118.63 : 862,447.88 = 862,447.88 : x
  2. Step 2: Convert to fraction form
    577,118.63/862,447.88 = 862,447.88/x
  3. Step 3: Cross multiply
    577,118.63x = 862,447.88 × 862,447.88
  4. Step 4: Simplify right side
    577,118.63x = 743,816,337,092.02
  5. Step 5: Solve for x
    x = 743,816,337,092.02/577,118.63
  6. Step 6: Final answer
    x = 1,288,844.80

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