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Finding the Third Proportional to 241,576.50 and 512,385

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Solution

The third proportional to 241,576.50 and 512,385 is: 1,086,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,576.50 : 512,385 = 512,385 : x
  2. Step 2: Convert to fraction form
    241,576.50/512,385 = 512,385/x
  3. Step 3: Cross multiply
    241,576.50x = 512,385 × 512,385
  4. Step 4: Simplify right side
    241,576.50x = 262,538,388,225
  5. Step 5: Solve for x
    x = 262,538,388,225/241,576.50
  6. Step 6: Final answer
    x = 1,086,771.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.