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Finding the Third Proportional to 365,394 and 797,188

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Solution

The third proportional to 365,394 and 797,188 is: 1,739,242.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,394 : 797,188 = 797,188 : x
  2. Step 2: Convert to fraction form
    365,394/797,188 = 797,188/x
  3. Step 3: Cross multiply
    365,394x = 797,188 × 797,188
  4. Step 4: Simplify right side
    365,394x = 635,508,707,344
  5. Step 5: Solve for x
    x = 635,508,707,344/365,394
  6. Step 6: Final answer
    x = 1,739,242.32

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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.