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Finding the Third Proportional to 531.84 and 808.73

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Solution

The third proportional to 531.84 and 808.73 is: 1,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.84 : 808.73 = 808.73 : x
  2. Step 2: Convert to fraction form
    531.84/808.73 = 808.73/x
  3. Step 3: Cross multiply
    531.84x = 808.73 × 808.73
  4. Step 4: Simplify right side
    531.84x = 654,051.29
  5. Step 5: Solve for x
    x = 654,051.29/531.84
  6. Step 6: Final answer
    x = 1,229.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.