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Finding the Third Proportional to 521.88 and 802.44

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Solution

The third proportional to 521.88 and 802.44 is: 1,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.88 : 802.44 = 802.44 : x
  2. Step 2: Convert to fraction form
    521.88/802.44 = 802.44/x
  3. Step 3: Cross multiply
    521.88x = 802.44 × 802.44
  4. Step 4: Simplify right side
    521.88x = 643,905.94
  5. Step 5: Solve for x
    x = 643,905.94/521.88
  6. Step 6: Final answer
    x = 1,233.83

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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.