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Finding the Third Proportional to 450.75 and 976.78

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Solution

The third proportional to 450.75 and 976.78 is: 2,116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.75 : 976.78 = 976.78 : x
  2. Step 2: Convert to fraction form
    450.75/976.78 = 976.78/x
  3. Step 3: Cross multiply
    450.75x = 976.78 × 976.78
  4. Step 4: Simplify right side
    450.75x = 954,101.61
  5. Step 5: Solve for x
    x = 954,101.61/450.75
  6. Step 6: Final answer
    x = 2,116.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.