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Finding the Third Proportional to 567,194 and 878,678

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Solution

The third proportional to 567,194 and 878,678 is: 1,361,218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,194 : 878,678 = 878,678 : x
  2. Step 2: Convert to fraction form
    567,194/878,678 = 878,678/x
  3. Step 3: Cross multiply
    567,194x = 878,678 × 878,678
  4. Step 4: Simplify right side
    567,194x = 772,075,027,684
  5. Step 5: Solve for x
    x = 772,075,027,684/567,194
  6. Step 6: Final answer
    x = 1,361,218.61

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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.