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Finding the Third Proportional to 506.57 and 1,107.11

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Solution

The third proportional to 506.57 and 1,107.11 is: 2,419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.57 : 1,107.11 = 1,107.11 : x
  2. Step 2: Convert to fraction form
    506.57/1,107.11 = 1,107.11/x
  3. Step 3: Cross multiply
    506.57x = 1,107.11 × 1,107.11
  4. Step 4: Simplify right side
    506.57x = 1,225,682.52
  5. Step 5: Solve for x
    x = 1,225,682.52/506.57
  6. Step 6: Final answer
    x = 2,419.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.