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Finding the Third Proportional to 459.50 and 963.88

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Solution

The third proportional to 459.50 and 963.88 is: 2,021.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.50 : 963.88 = 963.88 : x
  2. Step 2: Convert to fraction form
    459.50/963.88 = 963.88/x
  3. Step 3: Cross multiply
    459.50x = 963.88 × 963.88
  4. Step 4: Simplify right side
    459.50x = 929,055.02
  5. Step 5: Solve for x
    x = 929,055.02/459.50
  6. Step 6: Final answer
    x = 2,021.88

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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.