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Finding the Third Proportional to 399,571 and 849,996

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Solution

The third proportional to 399,571 and 849,996 is: 1,808,172.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,571 : 849,996 = 849,996 : x
  2. Step 2: Convert to fraction form
    399,571/849,996 = 849,996/x
  3. Step 3: Cross multiply
    399,571x = 849,996 × 849,996
  4. Step 4: Simplify right side
    399,571x = 722,493,200,016
  5. Step 5: Solve for x
    x = 722,493,200,016/399,571
  6. Step 6: Final answer
    x = 1,808,172.26

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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.