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Finding the Third Proportional to 239,562 and 518,994

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Solution

The third proportional to 239,562 and 518,994 is: 1,124,363.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,562 : 518,994 = 518,994 : x
  2. Step 2: Convert to fraction form
    239,562/518,994 = 518,994/x
  3. Step 3: Cross multiply
    239,562x = 518,994 × 518,994
  4. Step 4: Simplify right side
    239,562x = 269,354,772,036
  5. Step 5: Solve for x
    x = 269,354,772,036/239,562
  6. Step 6: Final answer
    x = 1,124,363.51

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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.