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Finding the Third Proportional to 251,904 and 518,586

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Solution

The third proportional to 251,904 and 518,586 is: 1,067,594.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,904 : 518,586 = 518,586 : x
  2. Step 2: Convert to fraction form
    251,904/518,586 = 518,586/x
  3. Step 3: Cross multiply
    251,904x = 518,586 × 518,586
  4. Step 4: Simplify right side
    251,904x = 268,931,439,396
  5. Step 5: Solve for x
    x = 268,931,439,396/251,904
  6. Step 6: Final answer
    x = 1,067,594.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.