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Finding the Third Proportional to 350,845 and 738,367

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Solution

The third proportional to 350,845 and 738,367 is: 1,553,922.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,845 : 738,367 = 738,367 : x
  2. Step 2: Convert to fraction form
    350,845/738,367 = 738,367/x
  3. Step 3: Cross multiply
    350,845x = 738,367 × 738,367
  4. Step 4: Simplify right side
    350,845x = 545,185,826,689
  5. Step 5: Solve for x
    x = 545,185,826,689/350,845
  6. Step 6: Final answer
    x = 1,553,922.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.