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Finding the Third Proportional to 220,764 and 480,192

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Solution

The third proportional to 220,764 and 480,192 is: 1,044,483.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,764 : 480,192 = 480,192 : x
  2. Step 2: Convert to fraction form
    220,764/480,192 = 480,192/x
  3. Step 3: Cross multiply
    220,764x = 480,192 × 480,192
  4. Step 4: Simplify right side
    220,764x = 230,584,356,864
  5. Step 5: Solve for x
    x = 230,584,356,864/220,764
  6. Step 6: Final answer
    x = 1,044,483.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.