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Finding the Third Proportional to 518,799 and 952,350

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Solution

The third proportional to 518,799 and 952,350 is: 1,748,211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,799 : 952,350 = 952,350 : x
  2. Step 2: Convert to fraction form
    518,799/952,350 = 952,350/x
  3. Step 3: Cross multiply
    518,799x = 952,350 × 952,350
  4. Step 4: Simplify right side
    518,799x = 906,970,522,500
  5. Step 5: Solve for x
    x = 906,970,522,500/518,799
  6. Step 6: Final answer
    x = 1,748,211.78

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.