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Finding the Third Proportional to 443,517 and 694,946

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Solution

The third proportional to 443,517 and 694,946 is: 1,088,909.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,517 : 694,946 = 694,946 : x
  2. Step 2: Convert to fraction form
    443,517/694,946 = 694,946/x
  3. Step 3: Cross multiply
    443,517x = 694,946 × 694,946
  4. Step 4: Simplify right side
    443,517x = 482,949,942,916
  5. Step 5: Solve for x
    x = 482,949,942,916/443,517
  6. Step 6: Final answer
    x = 1,088,909.65

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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.