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Finding the Third Proportional to 531.84 and 1,273.92

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Solution

The third proportional to 531.84 and 1,273.92 is: 3,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.84 : 1,273.92 = 1,273.92 : x
  2. Step 2: Convert to fraction form
    531.84/1,273.92 = 1,273.92/x
  3. Step 3: Cross multiply
    531.84x = 1,273.92 × 1,273.92
  4. Step 4: Simplify right side
    531.84x = 1,622,876.94
  5. Step 5: Solve for x
    x = 1,622,876.94/531.84
  6. Step 6: Final answer
    x = 3,051.42

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.