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Finding the Third Proportional to 443,518 and 694,949

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Solution

The third proportional to 443,518 and 694,949 is: 1,088,916.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,518 : 694,949 = 694,949 : x
  2. Step 2: Convert to fraction form
    443,518/694,949 = 694,949/x
  3. Step 3: Cross multiply
    443,518x = 694,949 × 694,949
  4. Step 4: Simplify right side
    443,518x = 482,954,112,601
  5. Step 5: Solve for x
    x = 482,954,112,601/443,518
  6. Step 6: Final answer
    x = 1,088,916.60

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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.