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Finding the Third Proportional to 506.17 and 1,095.64

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Solution

The third proportional to 506.17 and 1,095.64 is: 2,371.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.17 : 1,095.64 = 1,095.64 : x
  2. Step 2: Convert to fraction form
    506.17/1,095.64 = 1,095.64/x
  3. Step 3: Cross multiply
    506.17x = 1,095.64 × 1,095.64
  4. Step 4: Simplify right side
    506.17x = 1,200,417.68
  5. Step 5: Solve for x
    x = 1,200,417.68/506.17
  6. Step 6: Final answer
    x = 2,371.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.