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Finding the Third Proportional to 220,478.34 and 482,995.97

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Solution

The third proportional to 220,478.34 and 482,995.97 is: 1,058,086.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,478.34 : 482,995.97 = 482,995.97 : x
  2. Step 2: Convert to fraction form
    220,478.34/482,995.97 = 482,995.97/x
  3. Step 3: Cross multiply
    220,478.34x = 482,995.97 × 482,995.97
  4. Step 4: Simplify right side
    220,478.34x = 233,285,105,828.75
  5. Step 5: Solve for x
    x = 233,285,105,828.75/220,478.34
  6. Step 6: Final answer
    x = 1,058,086.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.