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Finding the Third Proportional to 293,463 and 393,081.75

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Solution

The third proportional to 293,463 and 393,081.75 is: 526,517.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,463 : 393,081.75 = 393,081.75 : x
  2. Step 2: Convert to fraction form
    293,463/393,081.75 = 393,081.75/x
  3. Step 3: Cross multiply
    293,463x = 393,081.75 × 393,081.75
  4. Step 4: Simplify right side
    293,463x = 154,513,262,183.06
  5. Step 5: Solve for x
    x = 154,513,262,183.06/293,463
  6. Step 6: Final answer
    x = 526,517.01

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.