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Finding the Third Proportional to 492,144 and 703,764.75

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Solution

The third proportional to 492,144 and 703,764.75 is: 1,006,381.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,144 : 703,764.75 = 703,764.75 : x
  2. Step 2: Convert to fraction form
    492,144/703,764.75 = 703,764.75/x
  3. Step 3: Cross multiply
    492,144x = 703,764.75 × 703,764.75
  4. Step 4: Simplify right side
    492,144x = 495,284,823,342.56
  5. Step 5: Solve for x
    x = 495,284,823,342.56/492,144
  6. Step 6: Final answer
    x = 1,006,381.92

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.