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Finding the Third Proportional to 276,831 and 363,501

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Solution

The third proportional to 276,831 and 363,501 is: 477,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,831 : 363,501 = 363,501 : x
  2. Step 2: Convert to fraction form
    276,831/363,501 = 363,501/x
  3. Step 3: Cross multiply
    276,831x = 363,501 × 363,501
  4. Step 4: Simplify right side
    276,831x = 132,132,977,001
  5. Step 5: Solve for x
    x = 132,132,977,001/276,831
  6. Step 6: Final answer
    x = 477,305.57

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.