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Finding the Third Proportional to 422,269.50 and 622,233

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Solution

The third proportional to 422,269.50 and 622,233 is: 916,888.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,269.50 : 622,233 = 622,233 : x
  2. Step 2: Convert to fraction form
    422,269.50/622,233 = 622,233/x
  3. Step 3: Cross multiply
    422,269.50x = 622,233 × 622,233
  4. Step 4: Simplify right side
    422,269.50x = 387,173,906,289
  5. Step 5: Solve for x
    x = 387,173,906,289/422,269.50
  6. Step 6: Final answer
    x = 916,888.16

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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.