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Finding the Third Proportional to 395,292 and 582,498

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Solution

The third proportional to 395,292 and 582,498 is: 858,362.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,292 : 582,498 = 582,498 : x
  2. Step 2: Convert to fraction form
    395,292/582,498 = 582,498/x
  3. Step 3: Cross multiply
    395,292x = 582,498 × 582,498
  4. Step 4: Simplify right side
    395,292x = 339,303,920,004
  5. Step 5: Solve for x
    x = 339,303,920,004/395,292
  6. Step 6: Final answer
    x = 858,362.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.