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Finding the Third Proportional to 297,370 and 444,756

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Solution

The third proportional to 297,370 and 444,756 is: 665,191.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,370 : 444,756 = 444,756 : x
  2. Step 2: Convert to fraction form
    297,370/444,756 = 444,756/x
  3. Step 3: Cross multiply
    297,370x = 444,756 × 444,756
  4. Step 4: Simplify right side
    297,370x = 197,807,899,536
  5. Step 5: Solve for x
    x = 197,807,899,536/297,370
  6. Step 6: Final answer
    x = 665,191.17

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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.