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Finding the Third Proportional to 283,936 and 626,948

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Solution

The third proportional to 283,936 and 626,948 is: 1,384,339.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,936 : 626,948 = 626,948 : x
  2. Step 2: Convert to fraction form
    283,936/626,948 = 626,948/x
  3. Step 3: Cross multiply
    283,936x = 626,948 × 626,948
  4. Step 4: Simplify right side
    283,936x = 393,063,794,704
  5. Step 5: Solve for x
    x = 393,063,794,704/283,936
  6. Step 6: Final answer
    x = 1,384,339.41

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.