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Finding the Third Proportional to 276,302 and 591,808

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Solution

The third proportional to 276,302 and 591,808 is: 1,267,586.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,302 : 591,808 = 591,808 : x
  2. Step 2: Convert to fraction form
    276,302/591,808 = 591,808/x
  3. Step 3: Cross multiply
    276,302x = 591,808 × 591,808
  4. Step 4: Simplify right side
    276,302x = 350,236,708,864
  5. Step 5: Solve for x
    x = 350,236,708,864/276,302
  6. Step 6: Final answer
    x = 1,267,586.59

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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.