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Finding the Third Proportional to 450.25 and 977.38

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Solution

The third proportional to 450.25 and 977.38 is: 2,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.25 : 977.38 = 977.38 : x
  2. Step 2: Convert to fraction form
    450.25/977.38 = 977.38/x
  3. Step 3: Cross multiply
    450.25x = 977.38 × 977.38
  4. Step 4: Simplify right side
    450.25x = 955,261.89
  5. Step 5: Solve for x
    x = 955,261.89/450.25
  6. Step 6: Final answer
    x = 2,121.63

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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.