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Finding the Third Proportional to 241,623 and 518,238

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Solution

The third proportional to 241,623 and 518,238 is: 1,111,527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,623 : 518,238 = 518,238 : x
  2. Step 2: Convert to fraction form
    241,623/518,238 = 518,238/x
  3. Step 3: Cross multiply
    241,623x = 518,238 × 518,238
  4. Step 4: Simplify right side
    241,623x = 268,570,624,644
  5. Step 5: Solve for x
    x = 268,570,624,644/241,623
  6. Step 6: Final answer
    x = 1,111,527.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.