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Finding the Third Proportional to 309,504 and 491,904

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Solution

The third proportional to 309,504 and 491,904 is: 781,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,504 : 491,904 = 491,904 : x
  2. Step 2: Convert to fraction form
    309,504/491,904 = 491,904/x
  3. Step 3: Cross multiply
    309,504x = 491,904 × 491,904
  4. Step 4: Simplify right side
    309,504x = 241,969,545,216
  5. Step 5: Solve for x
    x = 241,969,545,216/309,504
  6. Step 6: Final answer
    x = 781,797.80

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.