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Finding the Third Proportional to 411,757.50 and 615,211.88

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Solution

The third proportional to 411,757.50 and 615,211.88 is: 919,195.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,757.50 : 615,211.88 = 615,211.88 : x
  2. Step 2: Convert to fraction form
    411,757.50/615,211.88 = 615,211.88/x
  3. Step 3: Cross multiply
    411,757.50x = 615,211.88 × 615,211.88
  4. Step 4: Simplify right side
    411,757.50x = 378,485,651,141.02
  5. Step 5: Solve for x
    x = 378,485,651,141.02/411,757.50
  6. Step 6: Final answer
    x = 919,195.52

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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.