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Finding the Third Proportional to 682.38 and 1,024.25

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Solution

The third proportional to 682.38 and 1,024.25 is: 1,537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.38 : 1,024.25 = 1,024.25 : x
  2. Step 2: Convert to fraction form
    682.38/1,024.25 = 1,024.25/x
  3. Step 3: Cross multiply
    682.38x = 1,024.25 × 1,024.25
  4. Step 4: Simplify right side
    682.38x = 1,049,088.06
  5. Step 5: Solve for x
    x = 1,049,088.06/682.38
  6. Step 6: Final answer
    x = 1,537.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.