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Finding the Third Proportional to 567,226 and 878,189

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Solution

The third proportional to 567,226 and 878,189 is: 1,359,627.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,226 : 878,189 = 878,189 : x
  2. Step 2: Convert to fraction form
    567,226/878,189 = 878,189/x
  3. Step 3: Cross multiply
    567,226x = 878,189 × 878,189
  4. Step 4: Simplify right side
    567,226x = 771,215,919,721
  5. Step 5: Solve for x
    x = 771,215,919,721/567,226
  6. Step 6: Final answer
    x = 1,359,627.24

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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.