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Finding the Third Proportional to 427.31 and 652.03

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Solution

The third proportional to 427.31 and 652.03 is: 994.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.31 : 652.03 = 652.03 : x
  2. Step 2: Convert to fraction form
    427.31/652.03 = 652.03/x
  3. Step 3: Cross multiply
    427.31x = 652.03 × 652.03
  4. Step 4: Simplify right side
    427.31x = 425,144.75
  5. Step 5: Solve for x
    x = 425,144.75/427.31
  6. Step 6: Final answer
    x = 994.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.