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Finding the Third Proportional to 567,600 and 878,940

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Solution

The third proportional to 567,600 and 878,940 is: 1,361,056.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,600 : 878,940 = 878,940 : x
  2. Step 2: Convert to fraction form
    567,600/878,940 = 878,940/x
  3. Step 3: Cross multiply
    567,600x = 878,940 × 878,940
  4. Step 4: Simplify right side
    567,600x = 772,535,523,600
  5. Step 5: Solve for x
    x = 772,535,523,600/567,600
  6. Step 6: Final answer
    x = 1,361,056.24

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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.