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Finding the Third Proportional to 215,516.53 and 468,337.78

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Solution

The third proportional to 215,516.53 and 468,337.78 is: 1,017,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,516.53 : 468,337.78 = 468,337.78 : x
  2. Step 2: Convert to fraction form
    215,516.53/468,337.78 = 468,337.78/x
  3. Step 3: Cross multiply
    215,516.53x = 468,337.78 × 468,337.78
  4. Step 4: Simplify right side
    215,516.53x = 219,340,277,346.17
  5. Step 5: Solve for x
    x = 219,340,277,346.17/215,516.53
  6. Step 6: Final answer
    x = 1,017,742.24

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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.