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Finding the Third Proportional to 364.92 and 531.77

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Solution

The third proportional to 364.92 and 531.77 is: 774.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.92 : 531.77 = 531.77 : x
  2. Step 2: Convert to fraction form
    364.92/531.77 = 531.77/x
  3. Step 3: Cross multiply
    364.92x = 531.77 × 531.77
  4. Step 4: Simplify right side
    364.92x = 282,782.99
  5. Step 5: Solve for x
    x = 282,782.99/364.92
  6. Step 6: Final answer
    x = 774.91

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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.