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Finding the Third Proportional to 297,135 and 444,625

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Solution

The third proportional to 297,135 and 444,625 is: 665,325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,135 : 444,625 = 444,625 : x
  2. Step 2: Convert to fraction form
    297,135/444,625 = 444,625/x
  3. Step 3: Cross multiply
    297,135x = 444,625 × 444,625
  4. Step 4: Simplify right side
    297,135x = 197,691,390,625
  5. Step 5: Solve for x
    x = 197,691,390,625/297,135
  6. Step 6: Final answer
    x = 665,325.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.