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Finding the Third Proportional to 297,064 and 447,015

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Solution

The third proportional to 297,064 and 447,015 is: 672,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,064 : 447,015 = 447,015 : x
  2. Step 2: Convert to fraction form
    297,064/447,015 = 447,015/x
  3. Step 3: Cross multiply
    297,064x = 447,015 × 447,015
  4. Step 4: Simplify right side
    297,064x = 199,822,410,225
  5. Step 5: Solve for x
    x = 199,822,410,225/297,064
  6. Step 6: Final answer
    x = 672,657.78

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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.