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Finding the Third Proportional to 443,682.50 and 665,306.75

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Solution

The third proportional to 443,682.50 and 665,306.75 is: 997,634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,682.50 : 665,306.75 = 665,306.75 : x
  2. Step 2: Convert to fraction form
    443,682.50/665,306.75 = 665,306.75/x
  3. Step 3: Cross multiply
    443,682.50x = 665,306.75 × 665,306.75
  4. Step 4: Simplify right side
    443,682.50x = 442,633,071,595.56
  5. Step 5: Solve for x
    x = 442,633,071,595.56/443,682.50
  6. Step 6: Final answer
    x = 997,634.73

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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.