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Finding the Third Proportional to 342,103.50 and 792,807.75

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Solution

The third proportional to 342,103.50 and 792,807.75 is: 1,837,292.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,103.50 : 792,807.75 = 792,807.75 : x
  2. Step 2: Convert to fraction form
    342,103.50/792,807.75 = 792,807.75/x
  3. Step 3: Cross multiply
    342,103.50x = 792,807.75 × 792,807.75
  4. Step 4: Simplify right side
    342,103.50x = 628,544,128,460.06
  5. Step 5: Solve for x
    x = 628,544,128,460.06/342,103.50
  6. Step 6: Final answer
    x = 1,837,292.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.