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Finding the Third Proportional to 276,586 and 427,166

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Solution

The third proportional to 276,586 and 427,166 is: 659,725.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,586 : 427,166 = 427,166 : x
  2. Step 2: Convert to fraction form
    276,586/427,166 = 427,166/x
  3. Step 3: Cross multiply
    276,586x = 427,166 × 427,166
  4. Step 4: Simplify right side
    276,586x = 182,470,791,556
  5. Step 5: Solve for x
    x = 182,470,791,556/276,586
  6. Step 6: Final answer
    x = 659,725.34

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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.