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Finding the Third Proportional to 339,981 and 500,049

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Solution

The third proportional to 339,981 and 500,049 is: 735,479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,981 : 500,049 = 500,049 : x
  2. Step 2: Convert to fraction form
    339,981/500,049 = 500,049/x
  3. Step 3: Cross multiply
    339,981x = 500,049 × 500,049
  4. Step 4: Simplify right side
    339,981x = 250,049,002,401
  5. Step 5: Solve for x
    x = 250,049,002,401/339,981
  6. Step 6: Final answer
    x = 735,479.34

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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.