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Finding the Third Proportional to 444,286.50 and 977,115

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Solution

The third proportional to 444,286.50 and 977,115 is: 2,148,959.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,286.50 : 977,115 = 977,115 : x
  2. Step 2: Convert to fraction form
    444,286.50/977,115 = 977,115/x
  3. Step 3: Cross multiply
    444,286.50x = 977,115 × 977,115
  4. Step 4: Simplify right side
    444,286.50x = 954,753,723,225
  5. Step 5: Solve for x
    x = 954,753,723,225/444,286.50
  6. Step 6: Final answer
    x = 2,148,959.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.