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Finding the Third Proportional to 421,596.50 and 995,203

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Solution

The third proportional to 421,596.50 and 995,203 is: 2,349,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,596.50 : 995,203 = 995,203 : x
  2. Step 2: Convert to fraction form
    421,596.50/995,203 = 995,203/x
  3. Step 3: Cross multiply
    421,596.50x = 995,203 × 995,203
  4. Step 4: Simplify right side
    421,596.50x = 990,429,011,209
  5. Step 5: Solve for x
    x = 990,429,011,209/421,596.50
  6. Step 6: Final answer
    x = 2,349,234.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.