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Finding the Third Proportional to 427.75 and 932.25

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Solution

The third proportional to 427.75 and 932.25 is: 2,031.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.75 : 932.25 = 932.25 : x
  2. Step 2: Convert to fraction form
    427.75/932.25 = 932.25/x
  3. Step 3: Cross multiply
    427.75x = 932.25 × 932.25
  4. Step 4: Simplify right side
    427.75x = 869,090.06
  5. Step 5: Solve for x
    x = 869,090.06/427.75
  6. Step 6: Final answer
    x = 2,031.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.