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Finding the Third Proportional to 234,396 and 485,400

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Solution

The third proportional to 234,396 and 485,400 is: 1,005,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,396 : 485,400 = 485,400 : x
  2. Step 2: Convert to fraction form
    234,396/485,400 = 485,400/x
  3. Step 3: Cross multiply
    234,396x = 485,400 × 485,400
  4. Step 4: Simplify right side
    234,396x = 235,613,160,000
  5. Step 5: Solve for x
    x = 235,613,160,000/234,396
  6. Step 6: Final answer
    x = 1,005,192.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.