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Finding the Third Proportional to 365,404 and 797,036

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Solution

The third proportional to 365,404 and 797,036 is: 1,738,531.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,404 : 797,036 = 797,036 : x
  2. Step 2: Convert to fraction form
    365,404/797,036 = 797,036/x
  3. Step 3: Cross multiply
    365,404x = 797,036 × 797,036
  4. Step 4: Simplify right side
    365,404x = 635,266,385,296
  5. Step 5: Solve for x
    x = 635,266,385,296/365,404
  6. Step 6: Final answer
    x = 1,738,531.56

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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.