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Finding the Third Proportional to 454.12 and 927.51

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Solution

The third proportional to 454.12 and 927.51 is: 1,894.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.12 : 927.51 = 927.51 : x
  2. Step 2: Convert to fraction form
    454.12/927.51 = 927.51/x
  3. Step 3: Cross multiply
    454.12x = 927.51 × 927.51
  4. Step 4: Simplify right side
    454.12x = 860,266.21
  5. Step 5: Solve for x
    x = 860,266.21/454.12
  6. Step 6: Final answer
    x = 1,894.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.