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Finding the Third Proportional to 265,384 and 582,888

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Solution

The third proportional to 265,384 and 582,888 is: 1,280,252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,384 : 582,888 = 582,888 : x
  2. Step 2: Convert to fraction form
    265,384/582,888 = 582,888/x
  3. Step 3: Cross multiply
    265,384x = 582,888 × 582,888
  4. Step 4: Simplify right side
    265,384x = 339,758,420,544
  5. Step 5: Solve for x
    x = 339,758,420,544/265,384
  6. Step 6: Final answer
    x = 1,280,252.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.