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Finding the Third Proportional to 567,206 and 878,692

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Solution

The third proportional to 567,206 and 878,692 is: 1,361,233.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,206 : 878,692 = 878,692 : x
  2. Step 2: Convert to fraction form
    567,206/878,692 = 878,692/x
  3. Step 3: Cross multiply
    567,206x = 878,692 × 878,692
  4. Step 4: Simplify right side
    567,206x = 772,099,630,864
  5. Step 5: Solve for x
    x = 772,099,630,864/567,206
  6. Step 6: Final answer
    x = 1,361,233.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.