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Finding the Third Proportional to 229,848 and 486,192

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Solution

The third proportional to 229,848 and 486,192 is: 1,028,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,848 : 486,192 = 486,192 : x
  2. Step 2: Convert to fraction form
    229,848/486,192 = 486,192/x
  3. Step 3: Cross multiply
    229,848x = 486,192 × 486,192
  4. Step 4: Simplify right side
    229,848x = 236,382,660,864
  5. Step 5: Solve for x
    x = 236,382,660,864/229,848
  6. Step 6: Final answer
    x = 1,028,430.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.