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Finding the Third Proportional to 199,828 and 436,263.50

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Solution

The third proportional to 199,828 and 436,263.50 is: 952,448.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,828 : 436,263.50 = 436,263.50 : x
  2. Step 2: Convert to fraction form
    199,828/436,263.50 = 436,263.50/x
  3. Step 3: Cross multiply
    199,828x = 436,263.50 × 436,263.50
  4. Step 4: Simplify right side
    199,828x = 190,325,841,432.25
  5. Step 5: Solve for x
    x = 190,325,841,432.25/199,828
  6. Step 6: Final answer
    x = 952,448.31

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