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Finding the Third Proportional to 242,694.56 and 379,886.06

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Solution

The third proportional to 242,694.56 and 379,886.06 is: 594,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,694.56 : 379,886.06 = 379,886.06 : x
  2. Step 2: Convert to fraction form
    242,694.56/379,886.06 = 379,886.06/x
  3. Step 3: Cross multiply
    242,694.56x = 379,886.06 × 379,886.06
  4. Step 4: Simplify right side
    242,694.56x = 144,313,420,481.75
  5. Step 5: Solve for x
    x = 144,313,420,481.75/242,694.56
  6. Step 6: Final answer
    x = 594,629.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.