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Finding the Third Proportional to 239,334 and 518,292

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Solution

The third proportional to 239,334 and 518,292 is: 1,122,392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,334 : 518,292 = 518,292 : x
  2. Step 2: Convert to fraction form
    239,334/518,292 = 518,292/x
  3. Step 3: Cross multiply
    239,334x = 518,292 × 518,292
  4. Step 4: Simplify right side
    239,334x = 268,626,597,264
  5. Step 5: Solve for x
    x = 268,626,597,264/239,334
  6. Step 6: Final answer
    x = 1,122,392.13

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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.