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Finding the Third Proportional to 300,032 and 640,240

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Solution

The third proportional to 300,032 and 640,240 is: 1,366,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,032 : 640,240 = 640,240 : x
  2. Step 2: Convert to fraction form
    300,032/640,240 = 640,240/x
  3. Step 3: Cross multiply
    300,032x = 640,240 × 640,240
  4. Step 4: Simplify right side
    300,032x = 409,907,257,600
  5. Step 5: Solve for x
    x = 409,907,257,600/300,032
  6. Step 6: Final answer
    x = 1,366,211.80

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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.