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Finding the Third Proportional to 288.94 and 459.19

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Solution

The third proportional to 288.94 and 459.19 is: 729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.94 : 459.19 = 459.19 : x
  2. Step 2: Convert to fraction form
    288.94/459.19 = 459.19/x
  3. Step 3: Cross multiply
    288.94x = 459.19 × 459.19
  4. Step 4: Simplify right side
    288.94x = 210,853.16
  5. Step 5: Solve for x
    x = 210,853.16/288.94
  6. Step 6: Final answer
    x = 729.75

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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.