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Finding the Third Proportional to 448,000 and 693,744

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Solution

The third proportional to 448,000 and 693,744 is: 1,074,287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,000 : 693,744 = 693,744 : x
  2. Step 2: Convert to fraction form
    448,000/693,744 = 693,744/x
  3. Step 3: Cross multiply
    448,000x = 693,744 × 693,744
  4. Step 4: Simplify right side
    448,000x = 481,280,737,536
  5. Step 5: Solve for x
    x = 481,280,737,536/448,000
  6. Step 6: Final answer
    x = 1,074,287.36

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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.