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Finding the Third Proportional to 552,549 and 825,414.75

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Solution

The third proportional to 552,549 and 825,414.75 is: 1,233,030.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,549 : 825,414.75 = 825,414.75 : x
  2. Step 2: Convert to fraction form
    552,549/825,414.75 = 825,414.75/x
  3. Step 3: Cross multiply
    552,549x = 825,414.75 × 825,414.75
  4. Step 4: Simplify right side
    552,549x = 681,309,509,517.56
  5. Step 5: Solve for x
    x = 681,309,509,517.56/552,549
  6. Step 6: Final answer
    x = 1,233,030.03

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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.