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Finding the Third Proportional to 365,109.75 and 786,393

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Solution

The third proportional to 365,109.75 and 786,393 is: 1,693,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,109.75 : 786,393 = 786,393 : x
  2. Step 2: Convert to fraction form
    365,109.75/786,393 = 786,393/x
  3. Step 3: Cross multiply
    365,109.75x = 786,393 × 786,393
  4. Step 4: Simplify right side
    365,109.75x = 618,413,950,449
  5. Step 5: Solve for x
    x = 618,413,950,449/365,109.75
  6. Step 6: Final answer
    x = 1,693,775.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.