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Finding the Third Proportional to 465.50 and 964.63

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Solution

The third proportional to 465.50 and 964.63 is: 1,998.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.50 : 964.63 = 964.63 : x
  2. Step 2: Convert to fraction form
    465.50/964.63 = 964.63/x
  3. Step 3: Cross multiply
    465.50x = 964.63 × 964.63
  4. Step 4: Simplify right side
    465.50x = 930,501.39
  5. Step 5: Solve for x
    x = 930,501.39/465.50
  6. Step 6: Final answer
    x = 1,998.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.