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Finding the Third Proportional to 270,672 and 582,816

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Solution

The third proportional to 270,672 and 582,816 is: 1,254,930.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,672 : 582,816 = 582,816 : x
  2. Step 2: Convert to fraction form
    270,672/582,816 = 582,816/x
  3. Step 3: Cross multiply
    270,672x = 582,816 × 582,816
  4. Step 4: Simplify right side
    270,672x = 339,674,489,856
  5. Step 5: Solve for x
    x = 339,674,489,856/270,672
  6. Step 6: Final answer
    x = 1,254,930.28

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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.