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Finding the Third Proportional to 539.81 and 1,153.59

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Solution

The third proportional to 539.81 and 1,153.59 is: 2,465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.81 : 1,153.59 = 1,153.59 : x
  2. Step 2: Convert to fraction form
    539.81/1,153.59 = 1,153.59/x
  3. Step 3: Cross multiply
    539.81x = 1,153.59 × 1,153.59
  4. Step 4: Simplify right side
    539.81x = 1,330,778.54
  5. Step 5: Solve for x
    x = 1,330,778.54/539.81
  6. Step 6: Final answer
    x = 2,465.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.