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Finding the Third Proportional to 297,199 and 451,475

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Solution

The third proportional to 297,199 and 451,475 is: 685,835.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,199 : 451,475 = 451,475 : x
  2. Step 2: Convert to fraction form
    297,199/451,475 = 451,475/x
  3. Step 3: Cross multiply
    297,199x = 451,475 × 451,475
  4. Step 4: Simplify right side
    297,199x = 203,829,675,625
  5. Step 5: Solve for x
    x = 203,829,675,625/297,199
  6. Step 6: Final answer
    x = 685,835.67

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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.