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Finding the Third Proportional to 459.14 and 746.86

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Solution

The third proportional to 459.14 and 746.86 is: 1,214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.14 : 746.86 = 746.86 : x
  2. Step 2: Convert to fraction form
    459.14/746.86 = 746.86/x
  3. Step 3: Cross multiply
    459.14x = 746.86 × 746.86
  4. Step 4: Simplify right side
    459.14x = 557,798.93
  5. Step 5: Solve for x
    x = 557,798.93/459.14
  6. Step 6: Final answer
    x = 1,214.88

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.