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Finding the Third Proportional to 552,633 and 878,771

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Solution

The third proportional to 552,633 and 878,771 is: 1,397,380.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,633 : 878,771 = 878,771 : x
  2. Step 2: Convert to fraction form
    552,633/878,771 = 878,771/x
  3. Step 3: Cross multiply
    552,633x = 878,771 × 878,771
  4. Step 4: Simplify right side
    552,633x = 772,238,470,441
  5. Step 5: Solve for x
    x = 772,238,470,441/552,633
  6. Step 6: Final answer
    x = 1,397,380.31

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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.