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Finding the Third Proportional to 443,614.50 and 961,965

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Solution

The third proportional to 443,614.50 and 961,965 is: 2,085,992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,614.50 : 961,965 = 961,965 : x
  2. Step 2: Convert to fraction form
    443,614.50/961,965 = 961,965/x
  3. Step 3: Cross multiply
    443,614.50x = 961,965 × 961,965
  4. Step 4: Simplify right side
    443,614.50x = 925,376,661,225
  5. Step 5: Solve for x
    x = 925,376,661,225/443,614.50
  6. Step 6: Final answer
    x = 2,085,992.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.