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Finding the Third Proportional to 465.75 and 566.02

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Solution

The third proportional to 465.75 and 566.02 is: 687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.75 : 566.02 = 566.02 : x
  2. Step 2: Convert to fraction form
    465.75/566.02 = 566.02/x
  3. Step 3: Cross multiply
    465.75x = 566.02 × 566.02
  4. Step 4: Simplify right side
    465.75x = 320,373.69
  5. Step 5: Solve for x
    x = 320,373.69/465.75
  6. Step 6: Final answer
    x = 687.87

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.