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Finding the Third Proportional to 460.50 and 959.81

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Solution

The third proportional to 460.50 and 959.81 is: 2,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.50 : 959.81 = 959.81 : x
  2. Step 2: Convert to fraction form
    460.50/959.81 = 959.81/x
  3. Step 3: Cross multiply
    460.50x = 959.81 × 959.81
  4. Step 4: Simplify right side
    460.50x = 921,240.04
  5. Step 5: Solve for x
    x = 921,240.04/460.50
  6. Step 6: Final answer
    x = 2,000.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.