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Finding the Third Proportional to 267,580.50 and 414,546.75

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Solution

The third proportional to 267,580.50 and 414,546.75 is: 642,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,580.50 : 414,546.75 = 414,546.75 : x
  2. Step 2: Convert to fraction form
    267,580.50/414,546.75 = 414,546.75/x
  3. Step 3: Cross multiply
    267,580.50x = 414,546.75 × 414,546.75
  4. Step 4: Simplify right side
    267,580.50x = 171,849,007,935.56
  5. Step 5: Solve for x
    x = 171,849,007,935.56/267,580.50
  6. Step 6: Final answer
    x = 642,232.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.