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Finding the Third Proportional to 399,591 and 850,032

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Solution

The third proportional to 399,591 and 850,032 is: 1,808,234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,591 : 850,032 = 850,032 : x
  2. Step 2: Convert to fraction form
    399,591/850,032 = 850,032/x
  3. Step 3: Cross multiply
    399,591x = 850,032 × 850,032
  4. Step 4: Simplify right side
    399,591x = 722,554,401,024
  5. Step 5: Solve for x
    x = 722,554,401,024/399,591
  6. Step 6: Final answer
    x = 1,808,234.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.