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Finding the Third Proportional to 300,346 and 533,918

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Solution

The third proportional to 300,346 and 533,918 is: 949,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,346 : 533,918 = 533,918 : x
  2. Step 2: Convert to fraction form
    300,346/533,918 = 533,918/x
  3. Step 3: Cross multiply
    300,346x = 533,918 × 533,918
  4. Step 4: Simplify right side
    300,346x = 285,068,430,724
  5. Step 5: Solve for x
    x = 285,068,430,724/300,346
  6. Step 6: Final answer
    x = 949,133.44

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.