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Finding the Third Proportional to 399,006 and 559,885

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Solution

The third proportional to 399,006 and 559,885 is: 785,630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,006 : 559,885 = 559,885 : x
  2. Step 2: Convert to fraction form
    399,006/559,885 = 559,885/x
  3. Step 3: Cross multiply
    399,006x = 559,885 × 559,885
  4. Step 4: Simplify right side
    399,006x = 313,471,213,225
  5. Step 5: Solve for x
    x = 313,471,213,225/399,006
  6. Step 6: Final answer
    x = 785,630.32

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.