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Finding the Third Proportional to 350,292 and 768,372

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Solution

The third proportional to 350,292 and 768,372 is: 1,685,438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,292 : 768,372 = 768,372 : x
  2. Step 2: Convert to fraction form
    350,292/768,372 = 768,372/x
  3. Step 3: Cross multiply
    350,292x = 768,372 × 768,372
  4. Step 4: Simplify right side
    350,292x = 590,395,530,384
  5. Step 5: Solve for x
    x = 590,395,530,384/350,292
  6. Step 6: Final answer
    x = 1,685,438.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.