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Finding the Third Proportional to 283,374 and 475,907

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Solution

The third proportional to 283,374 and 475,907 is: 799,252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,374 : 475,907 = 475,907 : x
  2. Step 2: Convert to fraction form
    283,374/475,907 = 475,907/x
  3. Step 3: Cross multiply
    283,374x = 475,907 × 475,907
  4. Step 4: Simplify right side
    283,374x = 226,487,472,649
  5. Step 5: Solve for x
    x = 226,487,472,649/283,374
  6. Step 6: Final answer
    x = 799,252.83

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.