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Finding the Third Proportional to 539.81 and 1,164.75

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Solution

The third proportional to 539.81 and 1,164.75 is: 2,513.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.81 : 1,164.75 = 1,164.75 : x
  2. Step 2: Convert to fraction form
    539.81/1,164.75 = 1,164.75/x
  3. Step 3: Cross multiply
    539.81x = 1,164.75 × 1,164.75
  4. Step 4: Simplify right side
    539.81x = 1,356,642.56
  5. Step 5: Solve for x
    x = 1,356,642.56/539.81
  6. Step 6: Final answer
    x = 2,513.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.