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Finding the Third Proportional to 199,630.50 and 437,907

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Solution

The third proportional to 199,630.50 and 437,907 is: 960,587.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,630.50 : 437,907 = 437,907 : x
  2. Step 2: Convert to fraction form
    199,630.50/437,907 = 437,907/x
  3. Step 3: Cross multiply
    199,630.50x = 437,907 × 437,907
  4. Step 4: Simplify right side
    199,630.50x = 191,762,540,649
  5. Step 5: Solve for x
    x = 191,762,540,649/199,630.50
  6. Step 6: Final answer
    x = 960,587.39

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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.