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Finding the Third Proportional to 467,766 and 753,327

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Solution

The third proportional to 467,766 and 753,327 is: 1,213,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,766 : 753,327 = 753,327 : x
  2. Step 2: Convert to fraction form
    467,766/753,327 = 753,327/x
  3. Step 3: Cross multiply
    467,766x = 753,327 × 753,327
  4. Step 4: Simplify right side
    467,766x = 567,501,568,929
  5. Step 5: Solve for x
    x = 567,501,568,929/467,766
  6. Step 6: Final answer
    x = 1,213,216.80

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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.