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Finding the Third Proportional to 365,388 and 797,176

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Solution

The third proportional to 365,388 and 797,176 is: 1,739,218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,388 : 797,176 = 797,176 : x
  2. Step 2: Convert to fraction form
    365,388/797,176 = 797,176/x
  3. Step 3: Cross multiply
    365,388x = 797,176 × 797,176
  4. Step 4: Simplify right side
    365,388x = 635,489,574,976
  5. Step 5: Solve for x
    x = 635,489,574,976/365,388
  6. Step 6: Final answer
    x = 1,739,218.52

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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.