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Finding the Third Proportional to 411,270 and 952,002

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Solution

The third proportional to 411,270 and 952,002 is: 2,203,680.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,270 : 952,002 = 952,002 : x
  2. Step 2: Convert to fraction form
    411,270/952,002 = 952,002/x
  3. Step 3: Cross multiply
    411,270x = 952,002 × 952,002
  4. Step 4: Simplify right side
    411,270x = 906,307,808,004
  5. Step 5: Solve for x
    x = 906,307,808,004/411,270
  6. Step 6: Final answer
    x = 2,203,680.81

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.