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Finding the Third Proportional to 567,167.06 and 878,634.84

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Solution

The third proportional to 567,167.06 and 878,634.84 is: 1,361,149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,167.06 : 878,634.84 = 878,634.84 : x
  2. Step 2: Convert to fraction form
    567,167.06/878,634.84 = 878,634.84/x
  3. Step 3: Cross multiply
    567,167.06x = 878,634.84 × 878,634.84
  4. Step 4: Simplify right side
    567,167.06x = 771,999,188,651.59
  5. Step 5: Solve for x
    x = 771,999,188,651.59/567,167.06
  6. Step 6: Final answer
    x = 1,361,149.54

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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.