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Finding the Third Proportional to 278,012 and 595,390

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Solution

The third proportional to 278,012 and 595,390 is: 1,275,086.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,012 : 595,390 = 595,390 : x
  2. Step 2: Convert to fraction form
    278,012/595,390 = 595,390/x
  3. Step 3: Cross multiply
    278,012x = 595,390 × 595,390
  4. Step 4: Simplify right side
    278,012x = 354,489,252,100
  5. Step 5: Solve for x
    x = 354,489,252,100/278,012
  6. Step 6: Final answer
    x = 1,275,086.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.