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Finding the Third Proportional to 241,744 and 518,476

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Solution

The third proportional to 241,744 and 518,476 is: 1,111,991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,744 : 518,476 = 518,476 : x
  2. Step 2: Convert to fraction form
    241,744/518,476 = 518,476/x
  3. Step 3: Cross multiply
    241,744x = 518,476 × 518,476
  4. Step 4: Simplify right side
    241,744x = 268,817,362,576
  5. Step 5: Solve for x
    x = 268,817,362,576/241,744
  6. Step 6: Final answer
    x = 1,111,991.87

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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.