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Finding the Third Proportional to 300,024 and 640,224

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Solution

The third proportional to 300,024 and 640,224 is: 1,366,179.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,024 : 640,224 = 640,224 : x
  2. Step 2: Convert to fraction form
    300,024/640,224 = 640,224/x
  3. Step 3: Cross multiply
    300,024x = 640,224 × 640,224
  4. Step 4: Simplify right side
    300,024x = 409,886,770,176
  5. Step 5: Solve for x
    x = 409,886,770,176/300,024
  6. Step 6: Final answer
    x = 1,366,179.94

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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.