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Finding the Third Proportional to 199,451 and 436,450

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Solution

The third proportional to 199,451 and 436,450 is: 955,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,451 : 436,450 = 436,450 : x
  2. Step 2: Convert to fraction form
    199,451/436,450 = 436,450/x
  3. Step 3: Cross multiply
    199,451x = 436,450 × 436,450
  4. Step 4: Simplify right side
    199,451x = 190,488,602,500
  5. Step 5: Solve for x
    x = 190,488,602,500/199,451
  6. Step 6: Final answer
    x = 955,064.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.