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Finding the Third Proportional to 567,601 and 878,941

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Solution

The third proportional to 567,601 and 878,941 is: 1,361,056.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,601 : 878,941 = 878,941 : x
  2. Step 2: Convert to fraction form
    567,601/878,941 = 878,941/x
  3. Step 3: Cross multiply
    567,601x = 878,941 × 878,941
  4. Step 4: Simplify right side
    567,601x = 772,537,281,481
  5. Step 5: Solve for x
    x = 772,537,281,481/567,601
  6. Step 6: Final answer
    x = 1,361,056.94

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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.