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Finding the Third Proportional to 241,706.21 and 531,658.85

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Solution

The third proportional to 241,706.21 and 531,658.85 is: 1,169,440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,706.21 : 531,658.85 = 531,658.85 : x
  2. Step 2: Convert to fraction form
    241,706.21/531,658.85 = 531,658.85/x
  3. Step 3: Cross multiply
    241,706.21x = 531,658.85 × 531,658.85
  4. Step 4: Simplify right side
    241,706.21x = 282,661,128,214.37
  5. Step 5: Solve for x
    x = 282,661,128,214.37/241,706.21
  6. Step 6: Final answer
    x = 1,169,440.88

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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.