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Finding the Third Proportional to 288,150 and 422,886

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Solution

The third proportional to 288,150 and 422,886 is: 620,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,150 : 422,886 = 422,886 : x
  2. Step 2: Convert to fraction form
    288,150/422,886 = 422,886/x
  3. Step 3: Cross multiply
    288,150x = 422,886 × 422,886
  4. Step 4: Simplify right side
    288,150x = 178,832,568,996
  5. Step 5: Solve for x
    x = 178,832,568,996/288,150
  6. Step 6: Final answer
    x = 620,623.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.