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Finding the Third Proportional to 412 and 468

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Solution

The third proportional to 412 and 468 is: 531.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412 : 468 = 468 : x
  2. Step 2: Convert to fraction form
    412/468 = 468/x
  3. Step 3: Cross multiply
    412x = 468 × 468
  4. Step 4: Simplify right side
    412x = 219,024
  5. Step 5: Solve for x
    x = 219,024/412
  6. Step 6: Final answer
    x = 531.61

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.