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Finding the Third Proportional to 365,616.75 and 815,253.75

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Solution

The third proportional to 365,616.75 and 815,253.75 is: 1,817,856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,616.75 : 815,253.75 = 815,253.75 : x
  2. Step 2: Convert to fraction form
    365,616.75/815,253.75 = 815,253.75/x
  3. Step 3: Cross multiply
    365,616.75x = 815,253.75 × 815,253.75
  4. Step 4: Simplify right side
    365,616.75x = 664,638,676,889.06
  5. Step 5: Solve for x
    x = 664,638,676,889.06/365,616.75
  6. Step 6: Final answer
    x = 1,817,856.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.