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Finding the Third Proportional to 351,932 and 767,372

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Solution

The third proportional to 351,932 and 767,372 is: 1,673,220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,932 : 767,372 = 767,372 : x
  2. Step 2: Convert to fraction form
    351,932/767,372 = 767,372/x
  3. Step 3: Cross multiply
    351,932x = 767,372 × 767,372
  4. Step 4: Simplify right side
    351,932x = 588,859,786,384
  5. Step 5: Solve for x
    x = 588,859,786,384/351,932
  6. Step 6: Final answer
    x = 1,673,220.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.