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Finding the Third Proportional to 297,203 and 451,481

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Solution

The third proportional to 297,203 and 451,481 is: 685,844.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,203 : 451,481 = 451,481 : x
  2. Step 2: Convert to fraction form
    297,203/451,481 = 451,481/x
  3. Step 3: Cross multiply
    297,203x = 451,481 × 451,481
  4. Step 4: Simplify right side
    297,203x = 203,835,093,361
  5. Step 5: Solve for x
    x = 203,835,093,361/297,203
  6. Step 6: Final answer
    x = 685,844.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.