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Finding the Third Proportional to 229,464 and 494,088

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Solution

The third proportional to 229,464 and 494,088 is: 1,063,883.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,464 : 494,088 = 494,088 : x
  2. Step 2: Convert to fraction form
    229,464/494,088 = 494,088/x
  3. Step 3: Cross multiply
    229,464x = 494,088 × 494,088
  4. Step 4: Simplify right side
    229,464x = 244,122,951,744
  5. Step 5: Solve for x
    x = 244,122,951,744/229,464
  6. Step 6: Final answer
    x = 1,063,883.45

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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.