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Finding the Third Proportional to 270,072 and 582,013

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Solution

The third proportional to 270,072 and 582,013 is: 1,254,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,072 : 582,013 = 582,013 : x
  2. Step 2: Convert to fraction form
    270,072/582,013 = 582,013/x
  3. Step 3: Cross multiply
    270,072x = 582,013 × 582,013
  4. Step 4: Simplify right side
    270,072x = 338,739,132,169
  5. Step 5: Solve for x
    x = 338,739,132,169/270,072
  6. Step 6: Final answer
    x = 1,254,254.91

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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.