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Finding the Third Proportional to 427.90 and 922.52

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Solution

The third proportional to 427.90 and 922.52 is: 1,988.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.90 : 922.52 = 922.52 : x
  2. Step 2: Convert to fraction form
    427.90/922.52 = 922.52/x
  3. Step 3: Cross multiply
    427.90x = 922.52 × 922.52
  4. Step 4: Simplify right side
    427.90x = 851,046.79
  5. Step 5: Solve for x
    x = 851,046.79/427.90
  6. Step 6: Final answer
    x = 1,988.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.