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Finding the Third Proportional to 271,568.91 and 410,847.94

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Solution

The third proportional to 271,568.91 and 410,847.94 is: 621,558.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,568.91 : 410,847.94 = 410,847.94 : x
  2. Step 2: Convert to fraction form
    271,568.91/410,847.94 = 410,847.94/x
  3. Step 3: Cross multiply
    271,568.91x = 410,847.94 × 410,847.94
  4. Step 4: Simplify right side
    271,568.91x = 168,796,027,748.00
  5. Step 5: Solve for x
    x = 168,796,027,748.00/271,568.91
  6. Step 6: Final answer
    x = 621,558.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.