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Finding the Third Proportional to 283.46 and 437.83

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Solution

The third proportional to 283.46 and 437.83 is: 676.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.46 : 437.83 = 437.83 : x
  2. Step 2: Convert to fraction form
    283.46/437.83 = 437.83/x
  3. Step 3: Cross multiply
    283.46x = 437.83 × 437.83
  4. Step 4: Simplify right side
    283.46x = 191,692.61
  5. Step 5: Solve for x
    x = 191,692.61/283.46
  6. Step 6: Final answer
    x = 676.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.