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Finding the Third Proportional to 239,526 and 518,922

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Solution

The third proportional to 239,526 and 518,922 is: 1,124,220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,526 : 518,922 = 518,922 : x
  2. Step 2: Convert to fraction form
    239,526/518,922 = 518,922/x
  3. Step 3: Cross multiply
    239,526x = 518,922 × 518,922
  4. Step 4: Simplify right side
    239,526x = 269,280,042,084
  5. Step 5: Solve for x
    x = 269,280,042,084/239,526
  6. Step 6: Final answer
    x = 1,124,220.51

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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.