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Finding the Third Proportional to 552,586 and 825,463

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Solution

The third proportional to 552,586 and 825,463 is: 1,233,091.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,586 : 825,463 = 825,463 : x
  2. Step 2: Convert to fraction form
    552,586/825,463 = 825,463/x
  3. Step 3: Cross multiply
    552,586x = 825,463 × 825,463
  4. Step 4: Simplify right side
    552,586x = 681,389,164,369
  5. Step 5: Solve for x
    x = 681,389,164,369/552,586
  6. Step 6: Final answer
    x = 1,233,091.62

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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.