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Finding the Third Proportional to 405.84 and 874.97

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Solution

The third proportional to 405.84 and 874.97 is: 1,886.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.84 : 874.97 = 874.97 : x
  2. Step 2: Convert to fraction form
    405.84/874.97 = 874.97/x
  3. Step 3: Cross multiply
    405.84x = 874.97 × 874.97
  4. Step 4: Simplify right side
    405.84x = 765,570.31
  5. Step 5: Solve for x
    x = 765,570.31/405.84
  6. Step 6: Final answer
    x = 1,886.37

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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.