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Finding the Third Proportional to 449,342 and 693,924

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Solution

The third proportional to 449,342 and 693,924 is: 1,071,634.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,342 : 693,924 = 693,924 : x
  2. Step 2: Convert to fraction form
    449,342/693,924 = 693,924/x
  3. Step 3: Cross multiply
    449,342x = 693,924 × 693,924
  4. Step 4: Simplify right side
    449,342x = 481,530,517,776
  5. Step 5: Solve for x
    x = 481,530,517,776/449,342
  6. Step 6: Final answer
    x = 1,071,634.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.