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Finding the Third Proportional to 300,954 and 399,510

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Solution

The third proportional to 300,954 and 399,510 is: 530,340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,954 : 399,510 = 399,510 : x
  2. Step 2: Convert to fraction form
    300,954/399,510 = 399,510/x
  3. Step 3: Cross multiply
    300,954x = 399,510 × 399,510
  4. Step 4: Simplify right side
    300,954x = 159,608,240,100
  5. Step 5: Solve for x
    x = 159,608,240,100/300,954
  6. Step 6: Final answer
    x = 530,340.98

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.