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Finding the Third Proportional to 399,576 and 597,906

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Solution

The third proportional to 399,576 and 597,906 is: 894,677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,576 : 597,906 = 597,906 : x
  2. Step 2: Convert to fraction form
    399,576/597,906 = 597,906/x
  3. Step 3: Cross multiply
    399,576x = 597,906 × 597,906
  4. Step 4: Simplify right side
    399,576x = 357,491,584,836
  5. Step 5: Solve for x
    x = 357,491,584,836/399,576
  6. Step 6: Final answer
    x = 894,677.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.