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Finding the Third Proportional to 299,301 and 440,199

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Solution

The third proportional to 299,301 and 440,199 is: 647,425.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,301 : 440,199 = 440,199 : x
  2. Step 2: Convert to fraction form
    299,301/440,199 = 440,199/x
  3. Step 3: Cross multiply
    299,301x = 440,199 × 440,199
  4. Step 4: Simplify right side
    299,301x = 193,775,159,601
  5. Step 5: Solve for x
    x = 193,775,159,601/299,301
  6. Step 6: Final answer
    x = 647,425.70

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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.