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Finding the Third Proportional to 199,648 and 436,808

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Solution

The third proportional to 199,648 and 436,808 is: 955,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,648 : 436,808 = 436,808 : x
  2. Step 2: Convert to fraction form
    199,648/436,808 = 436,808/x
  3. Step 3: Cross multiply
    199,648x = 436,808 × 436,808
  4. Step 4: Simplify right side
    199,648x = 190,801,228,864
  5. Step 5: Solve for x
    x = 190,801,228,864/199,648
  6. Step 6: Final answer
    x = 955,688.16

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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.