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Finding the Third Proportional to 272,912 and 587,296

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Solution

The third proportional to 272,912 and 587,296 is: 1,263,838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,912 : 587,296 = 587,296 : x
  2. Step 2: Convert to fraction form
    272,912/587,296 = 587,296/x
  3. Step 3: Cross multiply
    272,912x = 587,296 × 587,296
  4. Step 4: Simplify right side
    272,912x = 344,916,591,616
  5. Step 5: Solve for x
    x = 344,916,591,616/272,912
  6. Step 6: Final answer
    x = 1,263,838.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.