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Finding the Third Proportional to 582,271.75 and 925,896.38

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Solution

The third proportional to 582,271.75 and 925,896.38 is: 1,472,309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,271.75 : 925,896.38 = 925,896.38 : x
  2. Step 2: Convert to fraction form
    582,271.75/925,896.38 = 925,896.38/x
  3. Step 3: Cross multiply
    582,271.75x = 925,896.38 × 925,896.38
  4. Step 4: Simplify right side
    582,271.75x = 857,284,097,238.14
  5. Step 5: Solve for x
    x = 857,284,097,238.14/582,271.75
  6. Step 6: Final answer
    x = 1,472,309.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.