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Finding the Third Proportional to 306,230 and 447,249

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Solution

The third proportional to 306,230 and 447,249 is: 653,207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,230 : 447,249 = 447,249 : x
  2. Step 2: Convert to fraction form
    306,230/447,249 = 447,249/x
  3. Step 3: Cross multiply
    306,230x = 447,249 × 447,249
  4. Step 4: Simplify right side
    306,230x = 200,031,668,001
  5. Step 5: Solve for x
    x = 200,031,668,001/306,230
  6. Step 6: Final answer
    x = 653,207.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.