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Finding the Third Proportional to 251,908 and 518,594

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Solution

The third proportional to 251,908 and 518,594 is: 1,067,610.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,908 : 518,594 = 518,594 : x
  2. Step 2: Convert to fraction form
    251,908/518,594 = 518,594/x
  3. Step 3: Cross multiply
    251,908x = 518,594 × 518,594
  4. Step 4: Simplify right side
    251,908x = 268,939,736,836
  5. Step 5: Solve for x
    x = 268,939,736,836/251,908
  6. Step 6: Final answer
    x = 1,067,610.94

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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.