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Finding the Third Proportional to 365.34 and 534.52

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Solution

The third proportional to 365.34 and 534.52 is: 782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.34 : 534.52 = 534.52 : x
  2. Step 2: Convert to fraction form
    365.34/534.52 = 534.52/x
  3. Step 3: Cross multiply
    365.34x = 534.52 × 534.52
  4. Step 4: Simplify right side
    365.34x = 285,706.95
  5. Step 5: Solve for x
    x = 285,706.95/365.34
  6. Step 6: Final answer
    x = 782.02

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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.