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Finding the Third Proportional to 207,204 and 446,289

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Solution

The third proportional to 207,204 and 446,289 is: 961,245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,204 : 446,289 = 446,289 : x
  2. Step 2: Convert to fraction form
    207,204/446,289 = 446,289/x
  3. Step 3: Cross multiply
    207,204x = 446,289 × 446,289
  4. Step 4: Simplify right side
    207,204x = 199,173,871,521
  5. Step 5: Solve for x
    x = 199,173,871,521/207,204
  6. Step 6: Final answer
    x = 961,245.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.