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Finding the Third Proportional to 412.41 and 623.81

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Solution

The third proportional to 412.41 and 623.81 is: 943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.41 : 623.81 = 623.81 : x
  2. Step 2: Convert to fraction form
    412.41/623.81 = 623.81/x
  3. Step 3: Cross multiply
    412.41x = 623.81 × 623.81
  4. Step 4: Simplify right side
    412.41x = 389,142.04
  5. Step 5: Solve for x
    x = 389,142.04/412.41
  6. Step 6: Final answer
    x = 943.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.