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Finding the Third Proportional to 278,313 and 595,980

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Solution

The third proportional to 278,313 and 595,980 is: 1,276,232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,313 : 595,980 = 595,980 : x
  2. Step 2: Convert to fraction form
    278,313/595,980 = 595,980/x
  3. Step 3: Cross multiply
    278,313x = 595,980 × 595,980
  4. Step 4: Simplify right side
    278,313x = 355,192,160,400
  5. Step 5: Solve for x
    x = 355,192,160,400/278,313
  6. Step 6: Final answer
    x = 1,276,232.73

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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.