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Finding the Third Proportional to 488 and 1,214

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Solution

The third proportional to 488 and 1,214 is: 3,020.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    488 : 1,214 = 1,214 : x
  2. Step 2: Convert to fraction form
    488/1,214 = 1,214/x
  3. Step 3: Cross multiply
    488x = 1,214 × 1,214
  4. Step 4: Simplify right side
    488x = 1,473,796
  5. Step 5: Solve for x
    x = 1,473,796/488
  6. Step 6: Final answer
    x = 3,020.07

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These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.