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Finding the Third Proportional to 467,222 and 731,975

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Solution

The third proportional to 467,222 and 731,975 is: 1,146,751.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,222 : 731,975 = 731,975 : x
  2. Step 2: Convert to fraction form
    467,222/731,975 = 731,975/x
  3. Step 3: Cross multiply
    467,222x = 731,975 × 731,975
  4. Step 4: Simplify right side
    467,222x = 535,787,400,625
  5. Step 5: Solve for x
    x = 535,787,400,625/467,222
  6. Step 6: Final answer
    x = 1,146,751.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.