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Finding the Third Proportional to 276,052 and 587,096

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Solution

The third proportional to 276,052 and 587,096 is: 1,248,611.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,052 : 587,096 = 587,096 : x
  2. Step 2: Convert to fraction form
    276,052/587,096 = 587,096/x
  3. Step 3: Cross multiply
    276,052x = 587,096 × 587,096
  4. Step 4: Simplify right side
    276,052x = 344,681,713,216
  5. Step 5: Solve for x
    x = 344,681,713,216/276,052
  6. Step 6: Final answer
    x = 1,248,611.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.