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Finding the Third Proportional to 387,772 and 582,068

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Solution

The third proportional to 387,772 and 582,068 is: 873,717.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,772 : 582,068 = 582,068 : x
  2. Step 2: Convert to fraction form
    387,772/582,068 = 582,068/x
  3. Step 3: Cross multiply
    387,772x = 582,068 × 582,068
  4. Step 4: Simplify right side
    387,772x = 338,803,156,624
  5. Step 5: Solve for x
    x = 338,803,156,624/387,772
  6. Step 6: Final answer
    x = 873,717.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.