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Finding the Third Proportional to 455,731.50 and 981,579.75

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Solution

The third proportional to 455,731.50 and 981,579.75 is: 2,114,180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,731.50 : 981,579.75 = 981,579.75 : x
  2. Step 2: Convert to fraction form
    455,731.50/981,579.75 = 981,579.75/x
  3. Step 3: Cross multiply
    455,731.50x = 981,579.75 × 981,579.75
  4. Step 4: Simplify right side
    455,731.50x = 963,498,805,610.06
  5. Step 5: Solve for x
    x = 963,498,805,610.06/455,731.50
  6. Step 6: Final answer
    x = 2,114,180.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.