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Finding the Third Proportional to 276,332 and 591,868

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Solution

The third proportional to 276,332 and 591,868 is: 1,267,705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,332 : 591,868 = 591,868 : x
  2. Step 2: Convert to fraction form
    276,332/591,868 = 591,868/x
  3. Step 3: Cross multiply
    276,332x = 591,868 × 591,868
  4. Step 4: Simplify right side
    276,332x = 350,307,729,424
  5. Step 5: Solve for x
    x = 350,307,729,424/276,332
  6. Step 6: Final answer
    x = 1,267,705.98

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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.