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Finding the Third Proportional to 199,652 and 436,816

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Solution

The third proportional to 199,652 and 436,816 is: 955,704.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,652 : 436,816 = 436,816 : x
  2. Step 2: Convert to fraction form
    199,652/436,816 = 436,816/x
  3. Step 3: Cross multiply
    199,652x = 436,816 × 436,816
  4. Step 4: Simplify right side
    199,652x = 190,808,217,856
  5. Step 5: Solve for x
    x = 190,808,217,856/199,652
  6. Step 6: Final answer
    x = 955,704.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.