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Finding the Third Proportional to 215,682.75 and 459,006.75

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Solution

The third proportional to 215,682.75 and 459,006.75 is: 976,838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,682.75 : 459,006.75 = 459,006.75 : x
  2. Step 2: Convert to fraction form
    215,682.75/459,006.75 = 459,006.75/x
  3. Step 3: Cross multiply
    215,682.75x = 459,006.75 × 459,006.75
  4. Step 4: Simplify right side
    215,682.75x = 210,687,196,545.56
  5. Step 5: Solve for x
    x = 210,687,196,545.56/215,682.75
  6. Step 6: Final answer
    x = 976,838.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.