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Finding the Third Proportional to 531.94 and 849.19

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Solution

The third proportional to 531.94 and 849.19 is: 1,355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.94 : 849.19 = 849.19 : x
  2. Step 2: Convert to fraction form
    531.94/849.19 = 849.19/x
  3. Step 3: Cross multiply
    531.94x = 849.19 × 849.19
  4. Step 4: Simplify right side
    531.94x = 721,119.41
  5. Step 5: Solve for x
    x = 721,119.41/531.94
  6. Step 6: Final answer
    x = 1,355.65

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.