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Finding the Third Proportional to 459.56 and 969.75

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Solution

The third proportional to 459.56 and 969.75 is: 2,046.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.56 : 969.75 = 969.75 : x
  2. Step 2: Convert to fraction form
    459.56/969.75 = 969.75/x
  3. Step 3: Cross multiply
    459.56x = 969.75 × 969.75
  4. Step 4: Simplify right side
    459.56x = 940,415.06
  5. Step 5: Solve for x
    x = 940,415.06/459.56
  6. Step 6: Final answer
    x = 2,046.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.