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Finding the Third Proportional to 567,596 and 878,934

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Solution

The third proportional to 567,596 and 878,934 is: 1,361,047.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,596 : 878,934 = 878,934 : x
  2. Step 2: Convert to fraction form
    567,596/878,934 = 878,934/x
  3. Step 3: Cross multiply
    567,596x = 878,934 × 878,934
  4. Step 4: Simplify right side
    567,596x = 772,524,976,356
  5. Step 5: Solve for x
    x = 772,524,976,356/567,596
  6. Step 6: Final answer
    x = 1,361,047.25

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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.