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Finding the Third Proportional to 552,629 and 878,766

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Solution

The third proportional to 552,629 and 878,766 is: 1,397,374.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,629 : 878,766 = 878,766 : x
  2. Step 2: Convert to fraction form
    552,629/878,766 = 878,766/x
  3. Step 3: Cross multiply
    552,629x = 878,766 × 878,766
  4. Step 4: Simplify right side
    552,629x = 772,229,682,756
  5. Step 5: Solve for x
    x = 772,229,682,756/552,629
  6. Step 6: Final answer
    x = 1,397,374.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.