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Finding the Third Proportional to 270,680 and 582,832

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Solution

The third proportional to 270,680 and 582,832 is: 1,254,962.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,680 : 582,832 = 582,832 : x
  2. Step 2: Convert to fraction form
    270,680/582,832 = 582,832/x
  3. Step 3: Cross multiply
    270,680x = 582,832 × 582,832
  4. Step 4: Simplify right side
    270,680x = 339,693,140,224
  5. Step 5: Solve for x
    x = 339,693,140,224/270,680
  6. Step 6: Final answer
    x = 1,254,962.10

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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.