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Finding the Third Proportional to 264,200 and 570,512

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Solution

The third proportional to 264,200 and 570,512 is: 1,231,960.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,200 : 570,512 = 570,512 : x
  2. Step 2: Convert to fraction form
    264,200/570,512 = 570,512/x
  3. Step 3: Cross multiply
    264,200x = 570,512 × 570,512
  4. Step 4: Simplify right side
    264,200x = 325,483,942,144
  5. Step 5: Solve for x
    x = 325,483,942,144/264,200
  6. Step 6: Final answer
    x = 1,231,960.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.