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Finding the Third Proportional to 794.91 and 1,216.03

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Solution

The third proportional to 794.91 and 1,216.03 is: 1,860.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.91 : 1,216.03 = 1,216.03 : x
  2. Step 2: Convert to fraction form
    794.91/1,216.03 = 1,216.03/x
  3. Step 3: Cross multiply
    794.91x = 1,216.03 × 1,216.03
  4. Step 4: Simplify right side
    794.91x = 1,478,732.00
  5. Step 5: Solve for x
    x = 1,478,732.00/794.91
  6. Step 6: Final answer
    x = 1,860.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.