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Finding the Third Proportional to 443,472 and 664,524

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Solution

The third proportional to 443,472 and 664,524 is: 995,761.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,472 : 664,524 = 664,524 : x
  2. Step 2: Convert to fraction form
    443,472/664,524 = 664,524/x
  3. Step 3: Cross multiply
    443,472x = 664,524 × 664,524
  4. Step 4: Simplify right side
    443,472x = 441,592,146,576
  5. Step 5: Solve for x
    x = 441,592,146,576/443,472
  6. Step 6: Final answer
    x = 995,761.05

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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.