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Finding the Third Proportional to 220,238 and 480,926

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Solution

The third proportional to 220,238 and 480,926 is: 1,050,181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,238 : 480,926 = 480,926 : x
  2. Step 2: Convert to fraction form
    220,238/480,926 = 480,926/x
  3. Step 3: Cross multiply
    220,238x = 480,926 × 480,926
  4. Step 4: Simplify right side
    220,238x = 231,289,817,476
  5. Step 5: Solve for x
    x = 231,289,817,476/220,238
  6. Step 6: Final answer
    x = 1,050,181.25

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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.