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Finding the Third Proportional to 459.56 and 964.69

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Solution

The third proportional to 459.56 and 964.69 is: 2,025.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.56 : 964.69 = 964.69 : x
  2. Step 2: Convert to fraction form
    459.56/964.69 = 964.69/x
  3. Step 3: Cross multiply
    459.56x = 964.69 × 964.69
  4. Step 4: Simplify right side
    459.56x = 930,621.97
  5. Step 5: Solve for x
    x = 930,621.97/459.56
  6. Step 6: Final answer
    x = 2,025.02

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.