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Finding the Third Proportional to 403,197 and 582,843

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Solution

The third proportional to 403,197 and 582,843 is: 842,530.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,197 : 582,843 = 582,843 : x
  2. Step 2: Convert to fraction form
    403,197/582,843 = 582,843/x
  3. Step 3: Cross multiply
    403,197x = 582,843 × 582,843
  4. Step 4: Simplify right side
    403,197x = 339,705,962,649
  5. Step 5: Solve for x
    x = 339,705,962,649/403,197
  6. Step 6: Final answer
    x = 842,530.98

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.