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Finding the Third Proportional to 403,137 and 582,750

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Solution

The third proportional to 403,137 and 582,750 is: 842,387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,137 : 582,750 = 582,750 : x
  2. Step 2: Convert to fraction form
    403,137/582,750 = 582,750/x
  3. Step 3: Cross multiply
    403,137x = 582,750 × 582,750
  4. Step 4: Simplify right side
    403,137x = 339,597,562,500
  5. Step 5: Solve for x
    x = 339,597,562,500/403,137
  6. Step 6: Final answer
    x = 842,387.48

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