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Finding the Third Proportional to 366,375 and 797,267

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Solution

The third proportional to 366,375 and 797,267 is: 1,734,929.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,375 : 797,267 = 797,267 : x
  2. Step 2: Convert to fraction form
    366,375/797,267 = 797,267/x
  3. Step 3: Cross multiply
    366,375x = 797,267 × 797,267
  4. Step 4: Simplify right side
    366,375x = 635,634,669,289
  5. Step 5: Solve for x
    x = 635,634,669,289/366,375
  6. Step 6: Final answer
    x = 1,734,929.16

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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.