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Finding the Third Proportional to 229,728 and 496,356

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Solution

The third proportional to 229,728 and 496,356 is: 1,072,439.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,728 : 496,356 = 496,356 : x
  2. Step 2: Convert to fraction form
    229,728/496,356 = 496,356/x
  3. Step 3: Cross multiply
    229,728x = 496,356 × 496,356
  4. Step 4: Simplify right side
    229,728x = 246,369,278,736
  5. Step 5: Solve for x
    x = 246,369,278,736/229,728
  6. Step 6: Final answer
    x = 1,072,439.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.