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Finding the Third Proportional to 283.44 and 456.84

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Solution

The third proportional to 283.44 and 456.84 is: 736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.44 : 456.84 = 456.84 : x
  2. Step 2: Convert to fraction form
    283.44/456.84 = 456.84/x
  3. Step 3: Cross multiply
    283.44x = 456.84 × 456.84
  4. Step 4: Simplify right side
    283.44x = 208,706.21
  5. Step 5: Solve for x
    x = 208,706.21/283.44
  6. Step 6: Final answer
    x = 736.34

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.