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Finding the Third Proportional to 410,116.50 and 615,165

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Solution

The third proportional to 410,116.50 and 615,165 is: 922,732.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,116.50 : 615,165 = 615,165 : x
  2. Step 2: Convert to fraction form
    410,116.50/615,165 = 615,165/x
  3. Step 3: Cross multiply
    410,116.50x = 615,165 × 615,165
  4. Step 4: Simplify right side
    410,116.50x = 378,427,977,225
  5. Step 5: Solve for x
    x = 378,427,977,225/410,116.50
  6. Step 6: Final answer
    x = 922,732.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.