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Finding the Third Proportional to 306,064.50 and 667,230

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Solution

The third proportional to 306,064.50 and 667,230 is: 1,454,581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,064.50 : 667,230 = 667,230 : x
  2. Step 2: Convert to fraction form
    306,064.50/667,230 = 667,230/x
  3. Step 3: Cross multiply
    306,064.50x = 667,230 × 667,230
  4. Step 4: Simplify right side
    306,064.50x = 445,195,872,900
  5. Step 5: Solve for x
    x = 445,195,872,900/306,064.50
  6. Step 6: Final answer
    x = 1,454,581.87

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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.