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Finding the Third Proportional to 819.84 and 1,520.16

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Solution

The third proportional to 819.84 and 1,520.16 is: 2,818.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.84 : 1,520.16 = 1,520.16 : x
  2. Step 2: Convert to fraction form
    819.84/1,520.16 = 1,520.16/x
  3. Step 3: Cross multiply
    819.84x = 1,520.16 × 1,520.16
  4. Step 4: Simplify right side
    819.84x = 2,310,875.02
  5. Step 5: Solve for x
    x = 2,310,875.02/819.84
  6. Step 6: Final answer
    x = 2,818.68

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.