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Finding the Third Proportional to 467,255.25 and 613,541.25

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Solution

The third proportional to 467,255.25 and 613,541.25 is: 805,625.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,255.25 : 613,541.25 = 613,541.25 : x
  2. Step 2: Convert to fraction form
    467,255.25/613,541.25 = 613,541.25/x
  3. Step 3: Cross multiply
    467,255.25x = 613,541.25 × 613,541.25
  4. Step 4: Simplify right side
    467,255.25x = 376,432,865,451.56
  5. Step 5: Solve for x
    x = 376,432,865,451.56/467,255.25
  6. Step 6: Final answer
    x = 805,625.76

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.