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Finding the Third Proportional to 246,434 and 518,628

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Solution

The third proportional to 246,434 and 518,628 is: 1,091,468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,434 : 518,628 = 518,628 : x
  2. Step 2: Convert to fraction form
    246,434/518,628 = 518,628/x
  3. Step 3: Cross multiply
    246,434x = 518,628 × 518,628
  4. Step 4: Simplify right side
    246,434x = 268,975,002,384
  5. Step 5: Solve for x
    x = 268,975,002,384/246,434
  6. Step 6: Final answer
    x = 1,091,468.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.