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Finding the Third Proportional to 353,538 and 768,550.50

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Solution

The third proportional to 353,538 and 768,550.50 is: 1,670,739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,538 : 768,550.50 = 768,550.50 : x
  2. Step 2: Convert to fraction form
    353,538/768,550.50 = 768,550.50/x
  3. Step 3: Cross multiply
    353,538x = 768,550.50 × 768,550.50
  4. Step 4: Simplify right side
    353,538x = 590,669,871,050.25
  5. Step 5: Solve for x
    x = 590,669,871,050.25/353,538
  6. Step 6: Final answer
    x = 1,670,739.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.