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Finding the Third Proportional to 299,466 and 440,441

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Solution

The third proportional to 299,466 and 440,441 is: 647,780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,466 : 440,441 = 440,441 : x
  2. Step 2: Convert to fraction form
    299,466/440,441 = 440,441/x
  3. Step 3: Cross multiply
    299,466x = 440,441 × 440,441
  4. Step 4: Simplify right side
    299,466x = 193,988,274,481
  5. Step 5: Solve for x
    x = 193,988,274,481/299,466
  6. Step 6: Final answer
    x = 647,780.63

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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.