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Finding the Third Proportional to 283,344.75 and 421,372.13

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Solution

The third proportional to 283,344.75 and 421,372.13 is: 626,637.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,344.75 : 421,372.13 = 421,372.13 : x
  2. Step 2: Convert to fraction form
    283,344.75/421,372.13 = 421,372.13/x
  3. Step 3: Cross multiply
    283,344.75x = 421,372.13 × 421,372.13
  4. Step 4: Simplify right side
    283,344.75x = 177,554,467,727.02
  5. Step 5: Solve for x
    x = 177,554,467,727.02/283,344.75
  6. Step 6: Final answer
    x = 626,637.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.