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Finding the Third Proportional to 215,516.50 and 468,338

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Solution

The third proportional to 215,516.50 and 468,338 is: 1,017,743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,516.50 : 468,338 = 468,338 : x
  2. Step 2: Convert to fraction form
    215,516.50/468,338 = 468,338/x
  3. Step 3: Cross multiply
    215,516.50x = 468,338 × 468,338
  4. Step 4: Simplify right side
    215,516.50x = 219,340,482,244
  5. Step 5: Solve for x
    x = 219,340,482,244/215,516.50
  6. Step 6: Final answer
    x = 1,017,743.34

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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.