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Finding the Third Proportional to 506.57 and 1,110.74

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Solution

The third proportional to 506.57 and 1,110.74 is: 2,435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.57 : 1,110.74 = 1,110.74 : x
  2. Step 2: Convert to fraction form
    506.57/1,110.74 = 1,110.74/x
  3. Step 3: Cross multiply
    506.57x = 1,110.74 × 1,110.74
  4. Step 4: Simplify right side
    506.57x = 1,233,752.55
  5. Step 5: Solve for x
    x = 1,233,752.55/506.57
  6. Step 6: Final answer
    x = 2,435.52

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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.