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Finding the Third Proportional to 215,516.75 and 468,338.50

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Solution

The third proportional to 215,516.75 and 468,338.50 is: 1,017,744.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,516.75 : 468,338.50 = 468,338.50 : x
  2. Step 2: Convert to fraction form
    215,516.75/468,338.50 = 468,338.50/x
  3. Step 3: Cross multiply
    215,516.75x = 468,338.50 × 468,338.50
  4. Step 4: Simplify right side
    215,516.75x = 219,340,950,582.25
  5. Step 5: Solve for x
    x = 219,340,950,582.25/215,516.75
  6. Step 6: Final answer
    x = 1,017,744.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.