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Finding the Third Proportional to 305,877 and 667,050

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Solution

The third proportional to 305,877 and 667,050 is: 1,454,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,877 : 667,050 = 667,050 : x
  2. Step 2: Convert to fraction form
    305,877/667,050 = 667,050/x
  3. Step 3: Cross multiply
    305,877x = 667,050 × 667,050
  4. Step 4: Simplify right side
    305,877x = 444,955,702,500
  5. Step 5: Solve for x
    x = 444,955,702,500/305,877
  6. Step 6: Final answer
    x = 1,454,688.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.