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Finding the Third Proportional to 443,361 and 687,912

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Solution

The third proportional to 443,361 and 687,912 is: 1,067,353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,361 : 687,912 = 687,912 : x
  2. Step 2: Convert to fraction form
    443,361/687,912 = 687,912/x
  3. Step 3: Cross multiply
    443,361x = 687,912 × 687,912
  4. Step 4: Simplify right side
    443,361x = 473,222,919,744
  5. Step 5: Solve for x
    x = 473,222,919,744/443,361
  6. Step 6: Final answer
    x = 1,067,353.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.