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Finding the Third Proportional to 522.38 and 1,237.13

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Solution

The third proportional to 522.38 and 1,237.13 is: 2,929.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.38 : 1,237.13 = 1,237.13 : x
  2. Step 2: Convert to fraction form
    522.38/1,237.13 = 1,237.13/x
  3. Step 3: Cross multiply
    522.38x = 1,237.13 × 1,237.13
  4. Step 4: Simplify right side
    522.38x = 1,530,478.27
  5. Step 5: Solve for x
    x = 1,530,478.27/522.38
  6. Step 6: Final answer
    x = 2,929.85

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.