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Finding the Third Proportional to 399,590 and 850,036

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Solution

The third proportional to 399,590 and 850,036 is: 1,808,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,590 : 850,036 = 850,036 : x
  2. Step 2: Convert to fraction form
    399,590/850,036 = 850,036/x
  3. Step 3: Cross multiply
    399,590x = 850,036 × 850,036
  4. Step 4: Simplify right side
    399,590x = 722,561,201,296
  5. Step 5: Solve for x
    x = 722,561,201,296/399,590
  6. Step 6: Final answer
    x = 1,808,256.47

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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.