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Finding the Third Proportional to 283.50 and 598.22

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Solution

The third proportional to 283.50 and 598.22 is: 1,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.50 : 598.22 = 598.22 : x
  2. Step 2: Convert to fraction form
    283.50/598.22 = 598.22/x
  3. Step 3: Cross multiply
    283.50x = 598.22 × 598.22
  4. Step 4: Simplify right side
    283.50x = 357,865.67
  5. Step 5: Solve for x
    x = 357,865.67/283.50
  6. Step 6: Final answer
    x = 1,262.31

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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.