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Finding the Third Proportional to 238,464.94 and 518,346.19

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Solution

The third proportional to 238,464.94 and 518,346.19 is: 1,126,718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,464.94 : 518,346.19 = 518,346.19 : x
  2. Step 2: Convert to fraction form
    238,464.94/518,346.19 = 518,346.19/x
  3. Step 3: Cross multiply
    238,464.94x = 518,346.19 × 518,346.19
  4. Step 4: Simplify right side
    238,464.94x = 268,682,770,095.79
  5. Step 5: Solve for x
    x = 268,682,770,095.79/238,464.94
  6. Step 6: Final answer
    x = 1,126,718.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.