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Finding the Third Proportional to 404.75 and 857.88

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Solution

The third proportional to 404.75 and 857.88 is: 1,818.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.75 : 857.88 = 857.88 : x
  2. Step 2: Convert to fraction form
    404.75/857.88 = 857.88/x
  3. Step 3: Cross multiply
    404.75x = 857.88 × 857.88
  4. Step 4: Simplify right side
    404.75x = 735,949.52
  5. Step 5: Solve for x
    x = 735,949.52/404.75
  6. Step 6: Final answer
    x = 1,818.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.