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Finding the Third Proportional to 200,429.44 and 417,441.94

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Solution

The third proportional to 200,429.44 and 417,441.94 is: 869,422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,429.44 : 417,441.94 = 417,441.94 : x
  2. Step 2: Convert to fraction form
    200,429.44/417,441.94 = 417,441.94/x
  3. Step 3: Cross multiply
    200,429.44x = 417,441.94 × 417,441.94
  4. Step 4: Simplify right side
    200,429.44x = 174,257,771,183.75
  5. Step 5: Solve for x
    x = 174,257,771,183.75/200,429.44
  6. Step 6: Final answer
    x = 869,422.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.