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Finding the Third Proportional to 453,631.50 and 667,307.25

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Solution

The third proportional to 453,631.50 and 667,307.25 is: 981,631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,631.50 : 667,307.25 = 667,307.25 : x
  2. Step 2: Convert to fraction form
    453,631.50/667,307.25 = 667,307.25/x
  3. Step 3: Cross multiply
    453,631.50x = 667,307.25 × 667,307.25
  4. Step 4: Simplify right side
    453,631.50x = 445,298,965,902.56
  5. Step 5: Solve for x
    x = 445,298,965,902.56/453,631.50
  6. Step 6: Final answer
    x = 981,631.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.