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Finding the Third Proportional to 521.44 and 808.45

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Solution

The third proportional to 521.44 and 808.45 is: 1,253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.44 : 808.45 = 808.45 : x
  2. Step 2: Convert to fraction form
    521.44/808.45 = 808.45/x
  3. Step 3: Cross multiply
    521.44x = 808.45 × 808.45
  4. Step 4: Simplify right side
    521.44x = 653,596.46
  5. Step 5: Solve for x
    x = 653,596.46/521.44
  6. Step 6: Final answer
    x = 1,253.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.