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Finding the Third Proportional to 467,745 and 753,296

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Solution

The third proportional to 467,745 and 753,296 is: 1,213,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,745 : 753,296 = 753,296 : x
  2. Step 2: Convert to fraction form
    467,745/753,296 = 753,296/x
  3. Step 3: Cross multiply
    467,745x = 753,296 × 753,296
  4. Step 4: Simplify right side
    467,745x = 567,454,863,616
  5. Step 5: Solve for x
    x = 567,454,863,616/467,745
  6. Step 6: Final answer
    x = 1,213,171.42

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.