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Finding the Third Proportional to 443,518 and 694,810

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Solution

The third proportional to 443,518 and 694,810 is: 1,088,481.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,518 : 694,810 = 694,810 : x
  2. Step 2: Convert to fraction form
    443,518/694,810 = 694,810/x
  3. Step 3: Cross multiply
    443,518x = 694,810 × 694,810
  4. Step 4: Simplify right side
    443,518x = 482,760,936,100
  5. Step 5: Solve for x
    x = 482,760,936,100/443,518
  6. Step 6: Final answer
    x = 1,088,481.04

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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.