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Finding the Third Proportional to 199,113 and 437,592

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Solution

The third proportional to 199,113 and 437,592 is: 961,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,113 : 437,592 = 437,592 : x
  2. Step 2: Convert to fraction form
    199,113/437,592 = 437,592/x
  3. Step 3: Cross multiply
    199,113x = 437,592 × 437,592
  4. Step 4: Simplify right side
    199,113x = 191,486,758,464
  5. Step 5: Solve for x
    x = 191,486,758,464/199,113
  6. Step 6: Final answer
    x = 961,698.93

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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.