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Finding the Third Proportional to 300,348 and 533,922

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Solution

The third proportional to 300,348 and 533,922 is: 949,141.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,348 : 533,922 = 533,922 : x
  2. Step 2: Convert to fraction form
    300,348/533,922 = 533,922/x
  3. Step 3: Cross multiply
    300,348x = 533,922 × 533,922
  4. Step 4: Simplify right side
    300,348x = 285,072,702,084
  5. Step 5: Solve for x
    x = 285,072,702,084/300,348
  6. Step 6: Final answer
    x = 949,141.34

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