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Finding the Third Proportional to 837.84 and 1,323.42

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Solution

The third proportional to 837.84 and 1,323.42 is: 2,090.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.84 : 1,323.42 = 1,323.42 : x
  2. Step 2: Convert to fraction form
    837.84/1,323.42 = 1,323.42/x
  3. Step 3: Cross multiply
    837.84x = 1,323.42 × 1,323.42
  4. Step 4: Simplify right side
    837.84x = 1,751,445.46
  5. Step 5: Solve for x
    x = 1,751,445.46/837.84
  6. Step 6: Final answer
    x = 2,090.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.