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Finding the Third Proportional to 467,224 and 731,978

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Solution

The third proportional to 467,224 and 731,978 is: 1,146,755.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,224 : 731,978 = 731,978 : x
  2. Step 2: Convert to fraction form
    467,224/731,978 = 731,978/x
  3. Step 3: Cross multiply
    467,224x = 731,978 × 731,978
  4. Step 4: Simplify right side
    467,224x = 535,791,792,484
  5. Step 5: Solve for x
    x = 535,791,792,484/467,224
  6. Step 6: Final answer
    x = 1,146,755.72

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