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Finding the Third Proportional to 446.19 and 950.56

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Solution

The third proportional to 446.19 and 950.56 is: 2,025.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.19 : 950.56 = 950.56 : x
  2. Step 2: Convert to fraction form
    446.19/950.56 = 950.56/x
  3. Step 3: Cross multiply
    446.19x = 950.56 × 950.56
  4. Step 4: Simplify right side
    446.19x = 903,569.07
  5. Step 5: Solve for x
    x = 903,569.07/446.19
  6. Step 6: Final answer
    x = 2,025.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.