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Finding the Third Proportional to 372,137 and 775,762

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Solution

The third proportional to 372,137 and 775,762 is: 1,617,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,137 : 775,762 = 775,762 : x
  2. Step 2: Convert to fraction form
    372,137/775,762 = 775,762/x
  3. Step 3: Cross multiply
    372,137x = 775,762 × 775,762
  4. Step 4: Simplify right side
    372,137x = 601,806,680,644
  5. Step 5: Solve for x
    x = 601,806,680,644/372,137
  6. Step 6: Final answer
    x = 1,617,164.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.