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Finding the Third Proportional to 308,663.16 and 650,951.44

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Solution

The third proportional to 308,663.16 and 650,951.44 is: 1,372,816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,663.16 : 650,951.44 = 650,951.44 : x
  2. Step 2: Convert to fraction form
    308,663.16/650,951.44 = 650,951.44/x
  3. Step 3: Cross multiply
    308,663.16x = 650,951.44 × 650,951.44
  4. Step 4: Simplify right side
    308,663.16x = 423,737,773,983.32
  5. Step 5: Solve for x
    x = 423,737,773,983.32/308,663.16
  6. Step 6: Final answer
    x = 1,372,816.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.