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Finding the Third Proportional to 215,664.75 and 453,639.38

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Solution

The third proportional to 215,664.75 and 453,639.38 is: 954,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,664.75 : 453,639.38 = 453,639.38 : x
  2. Step 2: Convert to fraction form
    215,664.75/453,639.38 = 453,639.38/x
  3. Step 3: Cross multiply
    215,664.75x = 453,639.38 × 453,639.38
  4. Step 4: Simplify right side
    215,664.75x = 205,788,682,550.39
  5. Step 5: Solve for x
    x = 205,788,682,550.39/215,664.75
  6. Step 6: Final answer
    x = 954,206.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.