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Finding the Third Proportional to 552,583 and 825,459

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Solution

The third proportional to 552,583 and 825,459 is: 1,233,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,583 : 825,459 = 825,459 : x
  2. Step 2: Convert to fraction form
    552,583/825,459 = 825,459/x
  3. Step 3: Cross multiply
    552,583x = 825,459 × 825,459
  4. Step 4: Simplify right side
    552,583x = 681,382,560,681
  5. Step 5: Solve for x
    x = 681,382,560,681/552,583
  6. Step 6: Final answer
    x = 1,233,086.36

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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.