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Finding the Third Proportional to 265,966 and 582,800

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Solution

The third proportional to 265,966 and 582,800 is: 1,277,064.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,966 : 582,800 = 582,800 : x
  2. Step 2: Convert to fraction form
    265,966/582,800 = 582,800/x
  3. Step 3: Cross multiply
    265,966x = 582,800 × 582,800
  4. Step 4: Simplify right side
    265,966x = 339,655,840,000
  5. Step 5: Solve for x
    x = 339,655,840,000/265,966
  6. Step 6: Final answer
    x = 1,277,064.89

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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.