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Finding the Third Proportional to 363.50 and 569.50

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Solution

The third proportional to 363.50 and 569.50 is: 892.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.50 : 569.50 = 569.50 : x
  2. Step 2: Convert to fraction form
    363.50/569.50 = 569.50/x
  3. Step 3: Cross multiply
    363.50x = 569.50 × 569.50
  4. Step 4: Simplify right side
    363.50x = 324,330.25
  5. Step 5: Solve for x
    x = 324,330.25/363.50
  6. Step 6: Final answer
    x = 892.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.