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Finding the Third Proportional to 274,077 and 610,436.25

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Solution

The third proportional to 274,077 and 610,436.25 is: 1,359,590.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,077 : 610,436.25 = 610,436.25 : x
  2. Step 2: Convert to fraction form
    274,077/610,436.25 = 610,436.25/x
  3. Step 3: Cross multiply
    274,077x = 610,436.25 × 610,436.25
  4. Step 4: Simplify right side
    274,077x = 372,632,415,314.06
  5. Step 5: Solve for x
    x = 372,632,415,314.06/274,077
  6. Step 6: Final answer
    x = 1,359,590.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.