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Finding the Third Proportional to 506.50 and 1,106.75

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Solution

The third proportional to 506.50 and 1,106.75 is: 2,418.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.50 : 1,106.75 = 1,106.75 : x
  2. Step 2: Convert to fraction form
    506.50/1,106.75 = 1,106.75/x
  3. Step 3: Cross multiply
    506.50x = 1,106.75 × 1,106.75
  4. Step 4: Simplify right side
    506.50x = 1,224,895.56
  5. Step 5: Solve for x
    x = 1,224,895.56/506.50
  6. Step 6: Final answer
    x = 2,418.35

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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.