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Finding the Third Proportional to 446.06 and 1,042.31

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Solution

The third proportional to 446.06 and 1,042.31 is: 2,435.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.06 : 1,042.31 = 1,042.31 : x
  2. Step 2: Convert to fraction form
    446.06/1,042.31 = 1,042.31/x
  3. Step 3: Cross multiply
    446.06x = 1,042.31 × 1,042.31
  4. Step 4: Simplify right side
    446.06x = 1,086,415.35
  5. Step 5: Solve for x
    x = 1,086,415.35/446.06
  6. Step 6: Final answer
    x = 2,435.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.