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Finding the Third Proportional to 229,440 and 494,036

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Solution

The third proportional to 229,440 and 494,036 is: 1,063,770.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,440 : 494,036 = 494,036 : x
  2. Step 2: Convert to fraction form
    229,440/494,036 = 494,036/x
  3. Step 3: Cross multiply
    229,440x = 494,036 × 494,036
  4. Step 4: Simplify right side
    229,440x = 244,071,569,296
  5. Step 5: Solve for x
    x = 244,071,569,296/229,440
  6. Step 6: Final answer
    x = 1,063,770.79

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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.