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Finding the Third Proportional to 276,585 and 427,161

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Solution

The third proportional to 276,585 and 427,161 is: 659,712.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,585 : 427,161 = 427,161 : x
  2. Step 2: Convert to fraction form
    276,585/427,161 = 427,161/x
  3. Step 3: Cross multiply
    276,585x = 427,161 × 427,161
  4. Step 4: Simplify right side
    276,585x = 182,466,519,921
  5. Step 5: Solve for x
    x = 182,466,519,921/276,585
  6. Step 6: Final answer
    x = 659,712.28

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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.