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Finding the Third Proportional to 308,414.25 and 483,921.75

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Solution

The third proportional to 308,414.25 and 483,921.75 is: 759,304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,414.25 : 483,921.75 = 483,921.75 : x
  2. Step 2: Convert to fraction form
    308,414.25/483,921.75 = 483,921.75/x
  3. Step 3: Cross multiply
    308,414.25x = 483,921.75 × 483,921.75
  4. Step 4: Simplify right side
    308,414.25x = 234,180,260,123.06
  5. Step 5: Solve for x
    x = 234,180,260,123.06/308,414.25
  6. Step 6: Final answer
    x = 759,304.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.