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Finding the Third Proportional to 365,072 and 797,372

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Solution

The third proportional to 365,072 and 797,372 is: 1,741,580.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,072 : 797,372 = 797,372 : x
  2. Step 2: Convert to fraction form
    365,072/797,372 = 797,372/x
  3. Step 3: Cross multiply
    365,072x = 797,372 × 797,372
  4. Step 4: Simplify right side
    365,072x = 635,802,106,384
  5. Step 5: Solve for x
    x = 635,802,106,384/365,072
  6. Step 6: Final answer
    x = 1,741,580.03

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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.