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Finding the Third Proportional to 393,724.50 and 576,643.50

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Solution

The third proportional to 393,724.50 and 576,643.50 is: 844,544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,724.50 : 576,643.50 = 576,643.50 : x
  2. Step 2: Convert to fraction form
    393,724.50/576,643.50 = 576,643.50/x
  3. Step 3: Cross multiply
    393,724.50x = 576,643.50 × 576,643.50
  4. Step 4: Simplify right side
    393,724.50x = 332,517,726,092.25
  5. Step 5: Solve for x
    x = 332,517,726,092.25/393,724.50
  6. Step 6: Final answer
    x = 844,544.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.