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Finding the Third Proportional to 505.83 and 793.97

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Solution

The third proportional to 505.83 and 793.97 is: 1,246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.83 : 793.97 = 793.97 : x
  2. Step 2: Convert to fraction form
    505.83/793.97 = 793.97/x
  3. Step 3: Cross multiply
    505.83x = 793.97 × 793.97
  4. Step 4: Simplify right side
    505.83x = 630,386.38
  5. Step 5: Solve for x
    x = 630,386.38/505.83
  6. Step 6: Final answer
    x = 1,246.25

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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.