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Finding the Third Proportional to 505.83 and 1,215.21

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Solution

The third proportional to 505.83 and 1,215.21 is: 2,919.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.83 : 1,215.21 = 1,215.21 : x
  2. Step 2: Convert to fraction form
    505.83/1,215.21 = 1,215.21/x
  3. Step 3: Cross multiply
    505.83x = 1,215.21 × 1,215.21
  4. Step 4: Simplify right side
    505.83x = 1,476,737.62
  5. Step 5: Solve for x
    x = 1,476,737.62/505.83
  6. Step 6: Final answer
    x = 2,919.45

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.