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Finding the Third Proportional to 220,876.50 and 480,417

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Solution

The third proportional to 220,876.50 and 480,417 is: 1,044,930.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,876.50 : 480,417 = 480,417 : x
  2. Step 2: Convert to fraction form
    220,876.50/480,417 = 480,417/x
  3. Step 3: Cross multiply
    220,876.50x = 480,417 × 480,417
  4. Step 4: Simplify right side
    220,876.50x = 230,800,493,889
  5. Step 5: Solve for x
    x = 230,800,493,889/220,876.50
  6. Step 6: Final answer
    x = 1,044,930.06

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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.