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Finding the Third Proportional to 207,296 and 439,504

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Solution

The third proportional to 207,296 and 439,504 is: 931,825.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,296 : 439,504 = 439,504 : x
  2. Step 2: Convert to fraction form
    207,296/439,504 = 439,504/x
  3. Step 3: Cross multiply
    207,296x = 439,504 × 439,504
  4. Step 4: Simplify right side
    207,296x = 193,163,766,016
  5. Step 5: Solve for x
    x = 193,163,766,016/207,296
  6. Step 6: Final answer
    x = 931,825.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.