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Finding the Third Proportional to 199,817 and 436,246

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Solution

The third proportional to 199,817 and 436,246 is: 952,424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,817 : 436,246 = 436,246 : x
  2. Step 2: Convert to fraction form
    199,817/436,246 = 436,246/x
  3. Step 3: Cross multiply
    199,817x = 436,246 × 436,246
  4. Step 4: Simplify right side
    199,817x = 190,310,572,516
  5. Step 5: Solve for x
    x = 190,310,572,516/199,817
  6. Step 6: Final answer
    x = 952,424.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.