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Finding the Third Proportional to 199,104 and 437,574

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Solution

The third proportional to 199,104 and 437,574 is: 961,663.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,104 : 437,574 = 437,574 : x
  2. Step 2: Convert to fraction form
    199,104/437,574 = 437,574/x
  3. Step 3: Cross multiply
    199,104x = 437,574 × 437,574
  4. Step 4: Simplify right side
    199,104x = 191,471,005,476
  5. Step 5: Solve for x
    x = 191,471,005,476/199,104
  6. Step 6: Final answer
    x = 961,663.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.