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Finding the Third Proportional to 300,224 and 638,590

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Solution

The third proportional to 300,224 and 638,590 is: 1,358,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,224 : 638,590 = 638,590 : x
  2. Step 2: Convert to fraction form
    300,224/638,590 = 638,590/x
  3. Step 3: Cross multiply
    300,224x = 638,590 × 638,590
  4. Step 4: Simplify right side
    300,224x = 407,797,188,100
  5. Step 5: Solve for x
    x = 407,797,188,100/300,224
  6. Step 6: Final answer
    x = 1,358,309.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.