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Finding the Third Proportional to 300,948 and 399,501

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Solution

The third proportional to 300,948 and 399,501 is: 530,327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,948 : 399,501 = 399,501 : x
  2. Step 2: Convert to fraction form
    300,948/399,501 = 399,501/x
  3. Step 3: Cross multiply
    300,948x = 399,501 × 399,501
  4. Step 4: Simplify right side
    300,948x = 159,601,049,001
  5. Step 5: Solve for x
    x = 159,601,049,001/300,948
  6. Step 6: Final answer
    x = 530,327.66

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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.