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Finding the Third Proportional to 308,128.75 and 672,963.88

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Solution

The third proportional to 308,128.75 and 672,963.88 is: 1,469,776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,128.75 : 672,963.88 = 672,963.88 : x
  2. Step 2: Convert to fraction form
    308,128.75/672,963.88 = 672,963.88/x
  3. Step 3: Cross multiply
    308,128.75x = 672,963.88 × 672,963.88
  4. Step 4: Simplify right side
    308,128.75x = 452,880,377,055.02
  5. Step 5: Solve for x
    x = 452,880,377,055.02/308,128.75
  6. Step 6: Final answer
    x = 1,469,776.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.