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Finding the Third Proportional to 559.13 and 849.94

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Solution

The third proportional to 559.13 and 849.94 is: 1,292.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.13 : 849.94 = 849.94 : x
  2. Step 2: Convert to fraction form
    559.13/849.94 = 849.94/x
  3. Step 3: Cross multiply
    559.13x = 849.94 × 849.94
  4. Step 4: Simplify right side
    559.13x = 722,393.75
  5. Step 5: Solve for x
    x = 722,393.75/559.13
  6. Step 6: Final answer
    x = 1,292.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.