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Finding the Third Proportional to 364,816 and 582,808

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Solution

The third proportional to 364,816 and 582,808 is: 931,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,816 : 582,808 = 582,808 : x
  2. Step 2: Convert to fraction form
    364,816/582,808 = 582,808/x
  3. Step 3: Cross multiply
    364,816x = 582,808 × 582,808
  4. Step 4: Simplify right side
    364,816x = 339,665,164,864
  5. Step 5: Solve for x
    x = 339,665,164,864/364,816
  6. Step 6: Final answer
    x = 931,058.85

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.