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Finding the Third Proportional to 534.94 and 849.47

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Solution

The third proportional to 534.94 and 849.47 is: 1,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.94 : 849.47 = 849.47 : x
  2. Step 2: Convert to fraction form
    534.94/849.47 = 849.47/x
  3. Step 3: Cross multiply
    534.94x = 849.47 × 849.47
  4. Step 4: Simplify right side
    534.94x = 721,597.16
  5. Step 5: Solve for x
    x = 721,597.16/534.94
  6. Step 6: Final answer
    x = 1,348.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.