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Finding the Third Proportional to 450.94 and 973.69

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Solution

The third proportional to 450.94 and 973.69 is: 2,102.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.94 : 973.69 = 973.69 : x
  2. Step 2: Convert to fraction form
    450.94/973.69 = 973.69/x
  3. Step 3: Cross multiply
    450.94x = 973.69 × 973.69
  4. Step 4: Simplify right side
    450.94x = 948,067.35
  5. Step 5: Solve for x
    x = 948,067.35/450.94
  6. Step 6: Final answer
    x = 2,102.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.