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Finding the Third Proportional to 289.19 and 459.94

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Solution

The third proportional to 289.19 and 459.94 is: 731.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.19 : 459.94 = 459.94 : x
  2. Step 2: Convert to fraction form
    289.19/459.94 = 459.94/x
  3. Step 3: Cross multiply
    289.19x = 459.94 × 459.94
  4. Step 4: Simplify right side
    289.19x = 211,542.50
  5. Step 5: Solve for x
    x = 211,542.50/289.19
  6. Step 6: Final answer
    x = 731.51

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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.