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Finding the Third Proportional to 265,950 and 582,768

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Solution

The third proportional to 265,950 and 582,768 is: 1,277,001.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,950 : 582,768 = 582,768 : x
  2. Step 2: Convert to fraction form
    265,950/582,768 = 582,768/x
  3. Step 3: Cross multiply
    265,950x = 582,768 × 582,768
  4. Step 4: Simplify right side
    265,950x = 339,618,541,824
  5. Step 5: Solve for x
    x = 339,618,541,824/265,950
  6. Step 6: Final answer
    x = 1,277,001.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.