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Finding the Third Proportional to 506.72 and 1,099.51

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Solution

The third proportional to 506.72 and 1,099.51 is: 2,385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.72 : 1,099.51 = 1,099.51 : x
  2. Step 2: Convert to fraction form
    506.72/1,099.51 = 1,099.51/x
  3. Step 3: Cross multiply
    506.72x = 1,099.51 × 1,099.51
  4. Step 4: Simplify right side
    506.72x = 1,208,926.02
  5. Step 5: Solve for x
    x = 1,208,926.02/506.72
  6. Step 6: Final answer
    x = 2,385.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.