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Finding the Third Proportional to 291,871.69 and 641,207.81

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Solution

The third proportional to 291,871.69 and 641,207.81 is: 1,408,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,871.69 : 641,207.81 = 641,207.81 : x
  2. Step 2: Convert to fraction form
    291,871.69/641,207.81 = 641,207.81/x
  3. Step 3: Cross multiply
    291,871.69x = 641,207.81 × 641,207.81
  4. Step 4: Simplify right side
    291,871.69x = 411,147,458,811.04
  5. Step 5: Solve for x
    x = 411,147,458,811.04/291,871.69
  6. Step 6: Final answer
    x = 1,408,658.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.