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Finding the Third Proportional to 364.91 and 523.04

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Solution

The third proportional to 364.91 and 523.04 is: 749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.91 : 523.04 = 523.04 : x
  2. Step 2: Convert to fraction form
    364.91/523.04 = 523.04/x
  3. Step 3: Cross multiply
    364.91x = 523.04 × 523.04
  4. Step 4: Simplify right side
    364.91x = 273,570.76
  5. Step 5: Solve for x
    x = 273,570.76/364.91
  6. Step 6: Final answer
    x = 749.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.