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Finding the Third Proportional to 834 and 1,283.06

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Solution

The third proportional to 834 and 1,283.06 is: 1,973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    834 : 1,283.06 = 1,283.06 : x
  2. Step 2: Convert to fraction form
    834/1,283.06 = 1,283.06/x
  3. Step 3: Cross multiply
    834x = 1,283.06 × 1,283.06
  4. Step 4: Simplify right side
    834x = 1,646,249.38
  5. Step 5: Solve for x
    x = 1,646,249.38/834
  6. Step 6: Final answer
    x = 1,973.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.