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Finding the Third Proportional to 437,753 and 676,049

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Solution

The third proportional to 437,753 and 676,049 is: 1,044,064.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,753 : 676,049 = 676,049 : x
  2. Step 2: Convert to fraction form
    437,753/676,049 = 676,049/x
  3. Step 3: Cross multiply
    437,753x = 676,049 × 676,049
  4. Step 4: Simplify right side
    437,753x = 457,042,250,401
  5. Step 5: Solve for x
    x = 457,042,250,401/437,753
  6. Step 6: Final answer
    x = 1,044,064.23

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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.