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Finding the Third Proportional to 199,820 and 436,250

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Solution

The third proportional to 199,820 and 436,250 is: 952,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,820 : 436,250 = 436,250 : x
  2. Step 2: Convert to fraction form
    199,820/436,250 = 436,250/x
  3. Step 3: Cross multiply
    199,820x = 436,250 × 436,250
  4. Step 4: Simplify right side
    199,820x = 190,314,062,500
  5. Step 5: Solve for x
    x = 190,314,062,500/199,820
  6. Step 6: Final answer
    x = 952,427.50

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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.