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Finding the Third Proportional to 248,742.77 and 394,508.60

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Solution

The third proportional to 248,742.77 and 394,508.60 is: 625,694.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,742.77 : 394,508.60 = 394,508.60 : x
  2. Step 2: Convert to fraction form
    248,742.77/394,508.60 = 394,508.60/x
  3. Step 3: Cross multiply
    248,742.77x = 394,508.60 × 394,508.60
  4. Step 4: Simplify right side
    248,742.77x = 155,637,036,706.80
  5. Step 5: Solve for x
    x = 155,637,036,706.80/248,742.77
  6. Step 6: Final answer
    x = 625,694.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.