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Finding the Third Proportional to 459.75 and 709.75

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Solution

The third proportional to 459.75 and 709.75 is: 1,095.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.75 : 709.75 = 709.75 : x
  2. Step 2: Convert to fraction form
    459.75/709.75 = 709.75/x
  3. Step 3: Cross multiply
    459.75x = 709.75 × 709.75
  4. Step 4: Simplify right side
    459.75x = 503,745.06
  5. Step 5: Solve for x
    x = 503,745.06/459.75
  6. Step 6: Final answer
    x = 1,095.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.