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Finding the Third Proportional to 347,109.75 and 524,364.75

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Solution

The third proportional to 347,109.75 and 524,364.75 is: 792,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,109.75 : 524,364.75 = 524,364.75 : x
  2. Step 2: Convert to fraction form
    347,109.75/524,364.75 = 524,364.75/x
  3. Step 3: Cross multiply
    347,109.75x = 524,364.75 × 524,364.75
  4. Step 4: Simplify right side
    347,109.75x = 274,958,391,042.56
  5. Step 5: Solve for x
    x = 274,958,391,042.56/347,109.75
  6. Step 6: Final answer
    x = 792,136.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.