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Finding the Third Proportional to 261,552 and 582,324

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Solution

The third proportional to 261,552 and 582,324 is: 1,296,496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,552 : 582,324 = 582,324 : x
  2. Step 2: Convert to fraction form
    261,552/582,324 = 582,324/x
  3. Step 3: Cross multiply
    261,552x = 582,324 × 582,324
  4. Step 4: Simplify right side
    261,552x = 339,101,240,976
  5. Step 5: Solve for x
    x = 339,101,240,976/261,552
  6. Step 6: Final answer
    x = 1,296,496.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.