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Finding the Third Proportional to 443,516 and 694,947

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Solution

The third proportional to 443,516 and 694,947 is: 1,088,915.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,516 : 694,947 = 694,947 : x
  2. Step 2: Convert to fraction form
    443,516/694,947 = 694,947/x
  3. Step 3: Cross multiply
    443,516x = 694,947 × 694,947
  4. Step 4: Simplify right side
    443,516x = 482,951,332,809
  5. Step 5: Solve for x
    x = 482,951,332,809/443,516
  6. Step 6: Final answer
    x = 1,088,915.24

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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.