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Finding the Third Proportional to 220,476.75 and 482,967.75

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Solution

The third proportional to 220,476.75 and 482,967.75 is: 1,057,970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,476.75 : 482,967.75 = 482,967.75 : x
  2. Step 2: Convert to fraction form
    220,476.75/482,967.75 = 482,967.75/x
  3. Step 3: Cross multiply
    220,476.75x = 482,967.75 × 482,967.75
  4. Step 4: Simplify right side
    220,476.75x = 233,257,847,540.06
  5. Step 5: Solve for x
    x = 233,257,847,540.06/220,476.75
  6. Step 6: Final answer
    x = 1,057,970.27

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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.