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Finding the Third Proportional to 462 and 520.50

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Solution

The third proportional to 462 and 520.50 is: 586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    462 : 520.50 = 520.50 : x
  2. Step 2: Convert to fraction form
    462/520.50 = 520.50/x
  3. Step 3: Cross multiply
    462x = 520.50 × 520.50
  4. Step 4: Simplify right side
    462x = 270,920.25
  5. Step 5: Solve for x
    x = 270,920.25/462
  6. Step 6: Final answer
    x = 586.41

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.