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Finding the Third Proportional to 248,910.75 and 585,091.13

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Solution

The third proportional to 248,910.75 and 585,091.13 is: 1,375,318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,910.75 : 585,091.13 = 585,091.13 : x
  2. Step 2: Convert to fraction form
    248,910.75/585,091.13 = 585,091.13/x
  3. Step 3: Cross multiply
    248,910.75x = 585,091.13 × 585,091.13
  4. Step 4: Simplify right side
    248,910.75x = 342,331,624,553.77
  5. Step 5: Solve for x
    x = 342,331,624,553.77/248,910.75
  6. Step 6: Final answer
    x = 1,375,318.76

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.