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Finding the Third Proportional to 270,072.75 and 582,013.50

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Solution

The third proportional to 270,072.75 and 582,013.50 is: 1,254,253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,072.75 : 582,013.50 = 582,013.50 : x
  2. Step 2: Convert to fraction form
    270,072.75/582,013.50 = 582,013.50/x
  3. Step 3: Cross multiply
    270,072.75x = 582,013.50 × 582,013.50
  4. Step 4: Simplify right side
    270,072.75x = 338,739,714,182.25
  5. Step 5: Solve for x
    x = 338,739,714,182.25/270,072.75
  6. Step 6: Final answer
    x = 1,254,253.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.