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Finding the Third Proportional to 274,844.25 and 604,849.50

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Solution

The third proportional to 274,844.25 and 604,849.50 is: 1,331,091.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,844.25 : 604,849.50 = 604,849.50 : x
  2. Step 2: Convert to fraction form
    274,844.25/604,849.50 = 604,849.50/x
  3. Step 3: Cross multiply
    274,844.25x = 604,849.50 × 604,849.50
  4. Step 4: Simplify right side
    274,844.25x = 365,842,917,650.25
  5. Step 5: Solve for x
    x = 365,842,917,650.25/274,844.25
  6. Step 6: Final answer
    x = 1,331,091.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.