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Finding the Third Proportional to 666,481.50 and 952,407

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Solution

The third proportional to 666,481.50 and 952,407 is: 1,360,996.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,481.50 : 952,407 = 952,407 : x
  2. Step 2: Convert to fraction form
    666,481.50/952,407 = 952,407/x
  3. Step 3: Cross multiply
    666,481.50x = 952,407 × 952,407
  4. Step 4: Simplify right side
    666,481.50x = 907,079,093,649
  5. Step 5: Solve for x
    x = 907,079,093,649/666,481.50
  6. Step 6: Final answer
    x = 1,360,996.66

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.