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Finding the Third Proportional to 388,916 and 599,968

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Solution

The third proportional to 388,916 and 599,968 is: 925,551.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,916 : 599,968 = 599,968 : x
  2. Step 2: Convert to fraction form
    388,916/599,968 = 599,968/x
  3. Step 3: Cross multiply
    388,916x = 599,968 × 599,968
  4. Step 4: Simplify right side
    388,916x = 359,961,601,024
  5. Step 5: Solve for x
    x = 359,961,601,024/388,916
  6. Step 6: Final answer
    x = 925,551.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.