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Finding the Third Proportional to 492,108.75 and 711,186.75

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Solution

The third proportional to 492,108.75 and 711,186.75 is: 1,027,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,108.75 : 711,186.75 = 711,186.75 : x
  2. Step 2: Convert to fraction form
    492,108.75/711,186.75 = 711,186.75/x
  3. Step 3: Cross multiply
    492,108.75x = 711,186.75 × 711,186.75
  4. Step 4: Simplify right side
    492,108.75x = 505,786,593,375.56
  5. Step 5: Solve for x
    x = 505,786,593,375.56/492,108.75
  6. Step 6: Final answer
    x = 1,027,794.35

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.