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Finding the Third Proportional to 265,964 and 582,796

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Solution

The third proportional to 265,964 and 582,796 is: 1,277,056.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,964 : 582,796 = 582,796 : x
  2. Step 2: Convert to fraction form
    265,964/582,796 = 582,796/x
  3. Step 3: Cross multiply
    265,964x = 582,796 × 582,796
  4. Step 4: Simplify right side
    265,964x = 339,651,177,616
  5. Step 5: Solve for x
    x = 339,651,177,616/265,964
  6. Step 6: Final answer
    x = 1,277,056.96

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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.