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Finding the Third Proportional to 410,077.69 and 615,114

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Solution

The third proportional to 410,077.69 and 615,114 is: 922,667.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,077.69 : 615,114 = 615,114 : x
  2. Step 2: Convert to fraction form
    410,077.69/615,114 = 615,114/x
  3. Step 3: Cross multiply
    410,077.69x = 615,114 × 615,114
  4. Step 4: Simplify right side
    410,077.69x = 378,365,232,996
  5. Step 5: Solve for x
    x = 378,365,232,996/410,077.69
  6. Step 6: Final answer
    x = 922,667.20

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