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Finding the Third Proportional to 315,227.25 and 674,741.25

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Solution

The third proportional to 315,227.25 and 674,741.25 is: 1,444,277.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,227.25 : 674,741.25 = 674,741.25 : x
  2. Step 2: Convert to fraction form
    315,227.25/674,741.25 = 674,741.25/x
  3. Step 3: Cross multiply
    315,227.25x = 674,741.25 × 674,741.25
  4. Step 4: Simplify right side
    315,227.25x = 455,275,754,451.56
  5. Step 5: Solve for x
    x = 455,275,754,451.56/315,227.25
  6. Step 6: Final answer
    x = 1,444,277.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.