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Finding the Third Proportional to 270,664 and 582,800

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Solution

The third proportional to 270,664 and 582,800 is: 1,254,898.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,664 : 582,800 = 582,800 : x
  2. Step 2: Convert to fraction form
    270,664/582,800 = 582,800/x
  3. Step 3: Cross multiply
    270,664x = 582,800 × 582,800
  4. Step 4: Simplify right side
    270,664x = 339,655,840,000
  5. Step 5: Solve for x
    x = 339,655,840,000/270,664
  6. Step 6: Final answer
    x = 1,254,898.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.