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Finding the Third Proportional to 506.25 and 794.25

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Solution

The third proportional to 506.25 and 794.25 is: 1,246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.25 : 794.25 = 794.25 : x
  2. Step 2: Convert to fraction form
    506.25/794.25 = 794.25/x
  3. Step 3: Cross multiply
    506.25x = 794.25 × 794.25
  4. Step 4: Simplify right side
    506.25x = 630,833.06
  5. Step 5: Solve for x
    x = 630,833.06/506.25
  6. Step 6: Final answer
    x = 1,246.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.