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Finding the Third Proportional to 299,274.75 and 440,164.13

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Solution

The third proportional to 299,274.75 and 440,164.13 is: 647,379.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,274.75 : 440,164.13 = 440,164.13 : x
  2. Step 2: Convert to fraction form
    299,274.75/440,164.13 = 440,164.13/x
  3. Step 3: Cross multiply
    299,274.75x = 440,164.13 × 440,164.13
  4. Step 4: Simplify right side
    299,274.75x = 193,744,456,937.02
  5. Step 5: Solve for x
    x = 193,744,456,937.02/299,274.75
  6. Step 6: Final answer
    x = 647,379.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.