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Finding the Third Proportional to 278,867 and 572,566

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Solution

The third proportional to 278,867 and 572,566 is: 1,175,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,867 : 572,566 = 572,566 : x
  2. Step 2: Convert to fraction form
    278,867/572,566 = 572,566/x
  3. Step 3: Cross multiply
    278,867x = 572,566 × 572,566
  4. Step 4: Simplify right side
    278,867x = 327,831,824,356
  5. Step 5: Solve for x
    x = 327,831,824,356/278,867
  6. Step 6: Final answer
    x = 1,175,584.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.