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Finding the Third Proportional to 566.50 and 838.75

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Solution

The third proportional to 566.50 and 838.75 is: 1,241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.50 : 838.75 = 838.75 : x
  2. Step 2: Convert to fraction form
    566.50/838.75 = 838.75/x
  3. Step 3: Cross multiply
    566.50x = 838.75 × 838.75
  4. Step 4: Simplify right side
    566.50x = 703,501.56
  5. Step 5: Solve for x
    x = 703,501.56/566.50
  6. Step 6: Final answer
    x = 1,241.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.