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Finding the Third Proportional to 365,398 and 797,024

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Solution

The third proportional to 365,398 and 797,024 is: 1,738,507.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,398 : 797,024 = 797,024 : x
  2. Step 2: Convert to fraction form
    365,398/797,024 = 797,024/x
  3. Step 3: Cross multiply
    365,398x = 797,024 × 797,024
  4. Step 4: Simplify right side
    365,398x = 635,247,256,576
  5. Step 5: Solve for x
    x = 635,247,256,576/365,398
  6. Step 6: Final answer
    x = 1,738,507.75

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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.