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Finding the Third Proportional to 411,264 and 952,992

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Solution

The third proportional to 411,264 and 952,992 is: 2,208,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,264 : 952,992 = 952,992 : x
  2. Step 2: Convert to fraction form
    411,264/952,992 = 952,992/x
  3. Step 3: Cross multiply
    411,264x = 952,992 × 952,992
  4. Step 4: Simplify right side
    411,264x = 908,193,752,064
  5. Step 5: Solve for x
    x = 908,193,752,064/411,264
  6. Step 6: Final answer
    x = 2,208,298.69

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.