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Finding the Third Proportional to 274,608.50 and 413,316.75

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Solution

The third proportional to 274,608.50 and 413,316.75 is: 622,088.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,608.50 : 413,316.75 = 413,316.75 : x
  2. Step 2: Convert to fraction form
    274,608.50/413,316.75 = 413,316.75/x
  3. Step 3: Cross multiply
    274,608.50x = 413,316.75 × 413,316.75
  4. Step 4: Simplify right side
    274,608.50x = 170,830,735,830.56
  5. Step 5: Solve for x
    x = 170,830,735,830.56/274,608.50
  6. Step 6: Final answer
    x = 622,088.30

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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.