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Finding the Third Proportional to 283.75 and 598.31

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Solution

The third proportional to 283.75 and 598.31 is: 1,261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.75 : 598.31 = 598.31 : x
  2. Step 2: Convert to fraction form
    283.75/598.31 = 598.31/x
  3. Step 3: Cross multiply
    283.75x = 598.31 × 598.31
  4. Step 4: Simplify right side
    283.75x = 357,977.85
  5. Step 5: Solve for x
    x = 357,977.85/283.75
  6. Step 6: Final answer
    x = 1,261.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.