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Finding the Third Proportional to 230,448 and 479,289

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Solution

The third proportional to 230,448 and 479,289 is: 996,832.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,448 : 479,289 = 479,289 : x
  2. Step 2: Convert to fraction form
    230,448/479,289 = 479,289/x
  3. Step 3: Cross multiply
    230,448x = 479,289 × 479,289
  4. Step 4: Simplify right side
    230,448x = 229,717,945,521
  5. Step 5: Solve for x
    x = 229,717,945,521/230,448
  6. Step 6: Final answer
    x = 996,832.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.