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Finding the Third Proportional to 443,004.75 and 664,363.13

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Solution

The third proportional to 443,004.75 and 664,363.13 is: 996,328.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,004.75 : 664,363.13 = 664,363.13 : x
  2. Step 2: Convert to fraction form
    443,004.75/664,363.13 = 664,363.13/x
  3. Step 3: Cross multiply
    443,004.75x = 664,363.13 × 664,363.13
  4. Step 4: Simplify right side
    443,004.75x = 441,378,361,859.77
  5. Step 5: Solve for x
    x = 441,378,361,859.77/443,004.75
  6. Step 6: Final answer
    x = 996,328.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.