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Finding the Third Proportional to 270,069.19 and 582,004.69

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Solution

The third proportional to 270,069.19 and 582,004.69 is: 1,254,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,069.19 : 582,004.69 = 582,004.69 : x
  2. Step 2: Convert to fraction form
    270,069.19/582,004.69 = 582,004.69/x
  3. Step 3: Cross multiply
    270,069.19x = 582,004.69 × 582,004.69
  4. Step 4: Simplify right side
    270,069.19x = 338,729,456,271.97
  5. Step 5: Solve for x
    x = 338,729,456,271.97/270,069.19
  6. Step 6: Final answer
    x = 1,254,232.14

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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.