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Finding the Third Proportional to 567,196 and 878,680

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Solution

The third proportional to 567,196 and 878,680 is: 1,361,220.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,196 : 878,680 = 878,680 : x
  2. Step 2: Convert to fraction form
    567,196/878,680 = 878,680/x
  3. Step 3: Cross multiply
    567,196x = 878,680 × 878,680
  4. Step 4: Simplify right side
    567,196x = 772,078,542,400
  5. Step 5: Solve for x
    x = 772,078,542,400/567,196
  6. Step 6: Final answer
    x = 1,361,220.01

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