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Finding the Third Proportional to 276,998 and 595,376

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Solution

The third proportional to 276,998 and 595,376 is: 1,279,693.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,998 : 595,376 = 595,376 : x
  2. Step 2: Convert to fraction form
    276,998/595,376 = 595,376/x
  3. Step 3: Cross multiply
    276,998x = 595,376 × 595,376
  4. Step 4: Simplify right side
    276,998x = 354,472,581,376
  5. Step 5: Solve for x
    x = 354,472,581,376/276,998
  6. Step 6: Final answer
    x = 1,279,693.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.