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Finding the Third Proportional to 365,400 and 797,199.75

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Solution

The third proportional to 365,400 and 797,199.75 is: 1,739,265.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,400 : 797,199.75 = 797,199.75 : x
  2. Step 2: Convert to fraction form
    365,400/797,199.75 = 797,199.75/x
  3. Step 3: Cross multiply
    365,400x = 797,199.75 × 797,199.75
  4. Step 4: Simplify right side
    365,400x = 635,527,441,400.06
  5. Step 5: Solve for x
    x = 635,527,441,400.06/365,400
  6. Step 6: Final answer
    x = 1,739,265.03

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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.