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Finding the Third Proportional to 407.53 and 950.80

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Solution

The third proportional to 407.53 and 950.80 is: 2,218.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.53 : 950.80 = 950.80 : x
  2. Step 2: Convert to fraction form
    407.53/950.80 = 950.80/x
  3. Step 3: Cross multiply
    407.53x = 950.80 × 950.80
  4. Step 4: Simplify right side
    407.53x = 904,022.13
  5. Step 5: Solve for x
    x = 904,022.13/407.53
  6. Step 6: Final answer
    x = 2,218.29

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.