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Finding the Third Proportional to 276,722 and 415,084

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Solution

The third proportional to 276,722 and 415,084 is: 622,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,722 : 415,084 = 415,084 : x
  2. Step 2: Convert to fraction form
    276,722/415,084 = 415,084/x
  3. Step 3: Cross multiply
    276,722x = 415,084 × 415,084
  4. Step 4: Simplify right side
    276,722x = 172,294,727,056
  5. Step 5: Solve for x
    x = 172,294,727,056/276,722
  6. Step 6: Final answer
    x = 622,627.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.