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Finding the Third Proportional to 427.88 and 828.94

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Solution

The third proportional to 427.88 and 828.94 is: 1,605.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.88 : 828.94 = 828.94 : x
  2. Step 2: Convert to fraction form
    427.88/828.94 = 828.94/x
  3. Step 3: Cross multiply
    427.88x = 828.94 × 828.94
  4. Step 4: Simplify right side
    427.88x = 687,137.38
  5. Step 5: Solve for x
    x = 687,137.38/427.88
  6. Step 6: Final answer
    x = 1,605.93

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.