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Finding the Third Proportional to 328,066 and 513,968

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Solution

The third proportional to 328,066 and 513,968 is: 805,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,066 : 513,968 = 513,968 : x
  2. Step 2: Convert to fraction form
    328,066/513,968 = 513,968/x
  3. Step 3: Cross multiply
    328,066x = 513,968 × 513,968
  4. Step 4: Simplify right side
    328,066x = 264,163,105,024
  5. Step 5: Solve for x
    x = 264,163,105,024/328,066
  6. Step 6: Final answer
    x = 805,213.30

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.