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Finding the Third Proportional to 276,338 and 426,713

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Solution

The third proportional to 276,338 and 426,713 is: 658,917.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,338 : 426,713 = 426,713 : x
  2. Step 2: Convert to fraction form
    276,338/426,713 = 426,713/x
  3. Step 3: Cross multiply
    276,338x = 426,713 × 426,713
  4. Step 4: Simplify right side
    276,338x = 182,083,984,369
  5. Step 5: Solve for x
    x = 182,083,984,369/276,338
  6. Step 6: Final answer
    x = 658,917.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.