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Finding the Third Proportional to 199,636 and 428,480

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Solution

The third proportional to 199,636 and 428,480 is: 919,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,636 : 428,480 = 428,480 : x
  2. Step 2: Convert to fraction form
    199,636/428,480 = 428,480/x
  3. Step 3: Cross multiply
    199,636x = 428,480 × 428,480
  4. Step 4: Simplify right side
    199,636x = 183,595,110,400
  5. Step 5: Solve for x
    x = 183,595,110,400/199,636
  6. Step 6: Final answer
    x = 919,649.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.