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Finding the Third Proportional to 364.88 and 531.69

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Solution

The third proportional to 364.88 and 531.69 is: 774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.88 : 531.69 = 531.69 : x
  2. Step 2: Convert to fraction form
    364.88/531.69 = 531.69/x
  3. Step 3: Cross multiply
    364.88x = 531.69 × 531.69
  4. Step 4: Simplify right side
    364.88x = 282,691.60
  5. Step 5: Solve for x
    x = 282,691.60/364.88
  6. Step 6: Final answer
    x = 774.76

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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.