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Finding the Third Proportional to 283,203 and 395,961.75

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Solution

The third proportional to 283,203 and 395,961.75 is: 553,615.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,203 : 395,961.75 = 395,961.75 : x
  2. Step 2: Convert to fraction form
    283,203/395,961.75 = 395,961.75/x
  3. Step 3: Cross multiply
    283,203x = 395,961.75 × 395,961.75
  4. Step 4: Simplify right side
    283,203x = 156,785,707,463.06
  5. Step 5: Solve for x
    x = 156,785,707,463.06/283,203
  6. Step 6: Final answer
    x = 553,615.98

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.