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Finding the Third Proportional to 229,520 and 494,192

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Solution

The third proportional to 229,520 and 494,192 is: 1,064,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,520 : 494,192 = 494,192 : x
  2. Step 2: Convert to fraction form
    229,520/494,192 = 494,192/x
  3. Step 3: Cross multiply
    229,520x = 494,192 × 494,192
  4. Step 4: Simplify right side
    229,520x = 244,225,732,864
  5. Step 5: Solve for x
    x = 244,225,732,864/229,520
  6. Step 6: Final answer
    x = 1,064,071.68

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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.