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Finding the Third Proportional to 625.92 and 936.63

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Solution

The third proportional to 625.92 and 936.63 is: 1,401.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.92 : 936.63 = 936.63 : x
  2. Step 2: Convert to fraction form
    625.92/936.63 = 936.63/x
  3. Step 3: Cross multiply
    625.92x = 936.63 × 936.63
  4. Step 4: Simplify right side
    625.92x = 877,281.03
  5. Step 5: Solve for x
    x = 877,281.03/625.92
  6. Step 6: Final answer
    x = 1,401.58

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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.