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Finding the Third Proportional to 306,226 and 447,243

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Solution

The third proportional to 306,226 and 447,243 is: 653,198.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,226 : 447,243 = 447,243 : x
  2. Step 2: Convert to fraction form
    306,226/447,243 = 447,243/x
  3. Step 3: Cross multiply
    306,226x = 447,243 × 447,243
  4. Step 4: Simplify right side
    306,226x = 200,026,301,049
  5. Step 5: Solve for x
    x = 200,026,301,049/306,226
  6. Step 6: Final answer
    x = 653,198.29

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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.