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Finding the Third Proportional to 265,988 and 582,848

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Solution

The third proportional to 265,988 and 582,848 is: 1,277,169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,988 : 582,848 = 582,848 : x
  2. Step 2: Convert to fraction form
    265,988/582,848 = 582,848/x
  3. Step 3: Cross multiply
    265,988x = 582,848 × 582,848
  4. Step 4: Simplify right side
    265,988x = 339,711,791,104
  5. Step 5: Solve for x
    x = 339,711,791,104/265,988
  6. Step 6: Final answer
    x = 1,277,169.61

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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.