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Finding the Third Proportional to 296.38 and 459.94

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Solution

The third proportional to 296.38 and 459.94 is: 713.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.38 : 459.94 = 459.94 : x
  2. Step 2: Convert to fraction form
    296.38/459.94 = 459.94/x
  3. Step 3: Cross multiply
    296.38x = 459.94 × 459.94
  4. Step 4: Simplify right side
    296.38x = 211,542.50
  5. Step 5: Solve for x
    x = 211,542.50/296.38
  6. Step 6: Final answer
    x = 713.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.