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Finding the Third Proportional to 276,869 and 433,758

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Solution

The third proportional to 276,869 and 433,758 is: 679,548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,869 : 433,758 = 433,758 : x
  2. Step 2: Convert to fraction form
    276,869/433,758 = 433,758/x
  3. Step 3: Cross multiply
    276,869x = 433,758 × 433,758
  4. Step 4: Simplify right side
    276,869x = 188,146,002,564
  5. Step 5: Solve for x
    x = 188,146,002,564/276,869
  6. Step 6: Final answer
    x = 679,548.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.