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Finding the Third Proportional to 506.06 and 765.94

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Solution

The third proportional to 506.06 and 765.94 is: 1,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.06 : 765.94 = 765.94 : x
  2. Step 2: Convert to fraction form
    506.06/765.94 = 765.94/x
  3. Step 3: Cross multiply
    506.06x = 765.94 × 765.94
  4. Step 4: Simplify right side
    506.06x = 586,660.25
  5. Step 5: Solve for x
    x = 586,660.25/506.06
  6. Step 6: Final answer
    x = 1,159.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.