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Finding the Third Proportional to 443,514.75 and 694,943.25

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Solution

The third proportional to 443,514.75 and 694,943.25 is: 1,088,906.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,514.75 : 694,943.25 = 694,943.25 : x
  2. Step 2: Convert to fraction form
    443,514.75/694,943.25 = 694,943.25/x
  3. Step 3: Cross multiply
    443,514.75x = 694,943.25 × 694,943.25
  4. Step 4: Simplify right side
    443,514.75x = 482,946,120,720.56
  5. Step 5: Solve for x
    x = 482,946,120,720.56/443,514.75
  6. Step 6: Final answer
    x = 1,088,906.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.