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Finding the Third Proportional to 220,253 and 480,962

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Solution

The third proportional to 220,253 and 480,962 is: 1,050,266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,253 : 480,962 = 480,962 : x
  2. Step 2: Convert to fraction form
    220,253/480,962 = 480,962/x
  3. Step 3: Cross multiply
    220,253x = 480,962 × 480,962
  4. Step 4: Simplify right side
    220,253x = 231,324,445,444
  5. Step 5: Solve for x
    x = 231,324,445,444/220,253
  6. Step 6: Final answer
    x = 1,050,266.95

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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.