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Finding the Third Proportional to 467,231.63 and 731,971.69

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Solution

The third proportional to 467,231.63 and 731,971.69 is: 1,146,717.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,231.63 : 731,971.69 = 731,971.69 : x
  2. Step 2: Convert to fraction form
    467,231.63/731,971.69 = 731,971.69/x
  3. Step 3: Cross multiply
    467,231.63x = 731,971.69 × 731,971.69
  4. Step 4: Simplify right side
    467,231.63x = 535,782,551,301.60
  5. Step 5: Solve for x
    x = 535,782,551,301.60/467,231.63
  6. Step 6: Final answer
    x = 1,146,717.22

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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.