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Finding the Third Proportional to 220,320 and 482,816

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Solution

The third proportional to 220,320 and 482,816 is: 1,058,057.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,320 : 482,816 = 482,816 : x
  2. Step 2: Convert to fraction form
    220,320/482,816 = 482,816/x
  3. Step 3: Cross multiply
    220,320x = 482,816 × 482,816
  4. Step 4: Simplify right side
    220,320x = 233,111,289,856
  5. Step 5: Solve for x
    x = 233,111,289,856/220,320
  6. Step 6: Final answer
    x = 1,058,057.78

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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.