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Finding the Third Proportional to 381,010.50 and 590,277

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Solution

The third proportional to 381,010.50 and 590,277 is: 914,481.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,010.50 : 590,277 = 590,277 : x
  2. Step 2: Convert to fraction form
    381,010.50/590,277 = 590,277/x
  3. Step 3: Cross multiply
    381,010.50x = 590,277 × 590,277
  4. Step 4: Simplify right side
    381,010.50x = 348,426,936,729
  5. Step 5: Solve for x
    x = 348,426,936,729/381,010.50
  6. Step 6: Final answer
    x = 914,481.19

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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.