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Finding the Third Proportional to 346,524 and 518,375

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Solution

The third proportional to 346,524 and 518,375 is: 775,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,524 : 518,375 = 518,375 : x
  2. Step 2: Convert to fraction form
    346,524/518,375 = 518,375/x
  3. Step 3: Cross multiply
    346,524x = 518,375 × 518,375
  4. Step 4: Simplify right side
    346,524x = 268,712,640,625
  5. Step 5: Solve for x
    x = 268,712,640,625/346,524
  6. Step 6: Final answer
    x = 775,451.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.