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Finding the Third Proportional to 283,850 and 426,963

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Solution

The third proportional to 283,850 and 426,963 is: 642,231.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,850 : 426,963 = 426,963 : x
  2. Step 2: Convert to fraction form
    283,850/426,963 = 426,963/x
  3. Step 3: Cross multiply
    283,850x = 426,963 × 426,963
  4. Step 4: Simplify right side
    283,850x = 182,297,403,369
  5. Step 5: Solve for x
    x = 182,297,403,369/283,850
  6. Step 6: Final answer
    x = 642,231.47

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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.