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Finding the Third Proportional to 199,648 and 428,504

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Solution

The third proportional to 199,648 and 428,504 is: 919,697.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,648 : 428,504 = 428,504 : x
  2. Step 2: Convert to fraction form
    199,648/428,504 = 428,504/x
  3. Step 3: Cross multiply
    199,648x = 428,504 × 428,504
  4. Step 4: Simplify right side
    199,648x = 183,615,678,016
  5. Step 5: Solve for x
    x = 183,615,678,016/199,648
  6. Step 6: Final answer
    x = 919,697.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.