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Finding the Third Proportional to 220,766 and 480,196

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Solution

The third proportional to 220,766 and 480,196 is: 1,044,491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,766 : 480,196 = 480,196 : x
  2. Step 2: Convert to fraction form
    220,766/480,196 = 480,196/x
  3. Step 3: Cross multiply
    220,766x = 480,196 × 480,196
  4. Step 4: Simplify right side
    220,766x = 230,588,198,416
  5. Step 5: Solve for x
    x = 230,588,198,416/220,766
  6. Step 6: Final answer
    x = 1,044,491.45

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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.