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Finding the Third Proportional to 274,609.50 and 413,318.50

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Solution

The third proportional to 274,609.50 and 413,318.50 is: 622,091.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,609.50 : 413,318.50 = 413,318.50 : x
  2. Step 2: Convert to fraction form
    274,609.50/413,318.50 = 413,318.50/x
  3. Step 3: Cross multiply
    274,609.50x = 413,318.50 × 413,318.50
  4. Step 4: Simplify right side
    274,609.50x = 170,832,182,442.25
  5. Step 5: Solve for x
    x = 170,832,182,442.25/274,609.50
  6. Step 6: Final answer
    x = 622,091.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.