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Finding the Third Proportional to 365,388.75 and 797,176.13

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Solution

The third proportional to 365,388.75 and 797,176.13 is: 1,739,215.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,388.75 : 797,176.13 = 797,176.13 : x
  2. Step 2: Convert to fraction form
    365,388.75/797,176.13 = 797,176.13/x
  3. Step 3: Cross multiply
    365,388.75x = 797,176.13 × 797,176.13
  4. Step 4: Simplify right side
    365,388.75x = 635,489,774,270.02
  5. Step 5: Solve for x
    x = 635,489,774,270.02/365,388.75
  6. Step 6: Final answer
    x = 1,739,215.49

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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.