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Finding the Third Proportional to 381,537.75 and 590,232.75

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Solution

The third proportional to 381,537.75 and 590,232.75 is: 913,080.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,537.75 : 590,232.75 = 590,232.75 : x
  2. Step 2: Convert to fraction form
    381,537.75/590,232.75 = 590,232.75/x
  3. Step 3: Cross multiply
    381,537.75x = 590,232.75 × 590,232.75
  4. Step 4: Simplify right side
    381,537.75x = 348,374,699,172.56
  5. Step 5: Solve for x
    x = 348,374,699,172.56/381,537.75
  6. Step 6: Final answer
    x = 913,080.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.