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Finding the Third Proportional to 561.75 and 818.25

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Solution

The third proportional to 561.75 and 818.25 is: 1,191.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.75 : 818.25 = 818.25 : x
  2. Step 2: Convert to fraction form
    561.75/818.25 = 818.25/x
  3. Step 3: Cross multiply
    561.75x = 818.25 × 818.25
  4. Step 4: Simplify right side
    561.75x = 669,533.06
  5. Step 5: Solve for x
    x = 669,533.06/561.75
  6. Step 6: Final answer
    x = 1,191.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.