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Finding the Third Proportional to 300,006.28 and 656,054.44

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Solution

The third proportional to 300,006.28 and 656,054.44 is: 1,434,661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,006.28 : 656,054.44 = 656,054.44 : x
  2. Step 2: Convert to fraction form
    300,006.28/656,054.44 = 656,054.44/x
  3. Step 3: Cross multiply
    300,006.28x = 656,054.44 × 656,054.44
  4. Step 4: Simplify right side
    300,006.28x = 430,407,424,963.44
  5. Step 5: Solve for x
    x = 430,407,424,963.44/300,006.28
  6. Step 6: Final answer
    x = 1,434,661.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.