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Finding the Third Proportional to 341,932 and 746,801

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Solution

The third proportional to 341,932 and 746,801 is: 1,631,060.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,932 : 746,801 = 746,801 : x
  2. Step 2: Convert to fraction form
    341,932/746,801 = 746,801/x
  3. Step 3: Cross multiply
    341,932x = 746,801 × 746,801
  4. Step 4: Simplify right side
    341,932x = 557,711,733,601
  5. Step 5: Solve for x
    x = 557,711,733,601/341,932
  6. Step 6: Final answer
    x = 1,631,060.37

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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.