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Finding the Third Proportional to 363,264.75 and 498,663

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Solution

The third proportional to 363,264.75 and 498,663 is: 684,527.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,264.75 : 498,663 = 498,663 : x
  2. Step 2: Convert to fraction form
    363,264.75/498,663 = 498,663/x
  3. Step 3: Cross multiply
    363,264.75x = 498,663 × 498,663
  4. Step 4: Simplify right side
    363,264.75x = 248,664,787,569
  5. Step 5: Solve for x
    x = 248,664,787,569/363,264.75
  6. Step 6: Final answer
    x = 684,527.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.