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Finding the Third Proportional to 433,982.81 and 663,481.13

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Solution

The third proportional to 433,982.81 and 663,481.13 is: 1,014,342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,982.81 : 663,481.13 = 663,481.13 : x
  2. Step 2: Convert to fraction form
    433,982.81/663,481.13 = 663,481.13/x
  3. Step 3: Cross multiply
    433,982.81x = 663,481.13 × 663,481.13
  4. Step 4: Simplify right side
    433,982.81x = 440,207,203,231.27
  5. Step 5: Solve for x
    x = 440,207,203,231.27/433,982.81
  6. Step 6: Final answer
    x = 1,014,342.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.