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Finding the Third Proportional to 261,600 and 582,416

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Solution

The third proportional to 261,600 and 582,416 is: 1,296,668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,600 : 582,416 = 582,416 : x
  2. Step 2: Convert to fraction form
    261,600/582,416 = 582,416/x
  3. Step 3: Cross multiply
    261,600x = 582,416 × 582,416
  4. Step 4: Simplify right side
    261,600x = 339,208,397,056
  5. Step 5: Solve for x
    x = 339,208,397,056/261,600
  6. Step 6: Final answer
    x = 1,296,668.18

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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.