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Finding the Third Proportional to 344,084 and 505,968

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Solution

The third proportional to 344,084 and 505,968 is: 744,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,084 : 505,968 = 505,968 : x
  2. Step 2: Convert to fraction form
    344,084/505,968 = 505,968/x
  3. Step 3: Cross multiply
    344,084x = 505,968 × 505,968
  4. Step 4: Simplify right side
    344,084x = 256,003,617,024
  5. Step 5: Solve for x
    x = 256,003,617,024/344,084
  6. Step 6: Final answer
    x = 744,014.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.