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Finding the Third Proportional to 373,945.50 and 801,027

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Solution

The third proportional to 373,945.50 and 801,027 is: 1,715,876.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,945.50 : 801,027 = 801,027 : x
  2. Step 2: Convert to fraction form
    373,945.50/801,027 = 801,027/x
  3. Step 3: Cross multiply
    373,945.50x = 801,027 × 801,027
  4. Step 4: Simplify right side
    373,945.50x = 641,644,254,729
  5. Step 5: Solve for x
    x = 641,644,254,729/373,945.50
  6. Step 6: Final answer
    x = 1,715,876.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.