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Finding the Third Proportional to 278,869 and 572,570

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Solution

The third proportional to 278,869 and 572,570 is: 1,175,592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,869 : 572,570 = 572,570 : x
  2. Step 2: Convert to fraction form
    278,869/572,570 = 572,570/x
  3. Step 3: Cross multiply
    278,869x = 572,570 × 572,570
  4. Step 4: Simplify right side
    278,869x = 327,836,404,900
  5. Step 5: Solve for x
    x = 327,836,404,900/278,869
  6. Step 6: Final answer
    x = 1,175,592.86

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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.