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Finding the Third Proportional to 207,848 and 463,243

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Solution

The third proportional to 207,848 and 463,243 is: 1,032,456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,848 : 463,243 = 463,243 : x
  2. Step 2: Convert to fraction form
    207,848/463,243 = 463,243/x
  3. Step 3: Cross multiply
    207,848x = 463,243 × 463,243
  4. Step 4: Simplify right side
    207,848x = 214,594,077,049
  5. Step 5: Solve for x
    x = 214,594,077,049/207,848
  6. Step 6: Final answer
    x = 1,032,456.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.