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Finding the Third Proportional to 285,360 and 427,149

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Solution

The third proportional to 285,360 and 427,149 is: 639,389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,360 : 427,149 = 427,149 : x
  2. Step 2: Convert to fraction form
    285,360/427,149 = 427,149/x
  3. Step 3: Cross multiply
    285,360x = 427,149 × 427,149
  4. Step 4: Simplify right side
    285,360x = 182,456,268,201
  5. Step 5: Solve for x
    x = 182,456,268,201/285,360
  6. Step 6: Final answer
    x = 639,389.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.