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Finding the Third Proportional to 328,878 and 491,995

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Solution

The third proportional to 328,878 and 491,995 is: 736,014.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,878 : 491,995 = 491,995 : x
  2. Step 2: Convert to fraction form
    328,878/491,995 = 491,995/x
  3. Step 3: Cross multiply
    328,878x = 491,995 × 491,995
  4. Step 4: Simplify right side
    328,878x = 242,059,080,025
  5. Step 5: Solve for x
    x = 242,059,080,025/328,878
  6. Step 6: Final answer
    x = 736,014.81

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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.