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Finding the Third Proportional to 293,987.25 and 644,022

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Solution

The third proportional to 293,987.25 and 644,022 is: 1,410,824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,987.25 : 644,022 = 644,022 : x
  2. Step 2: Convert to fraction form
    293,987.25/644,022 = 644,022/x
  3. Step 3: Cross multiply
    293,987.25x = 644,022 × 644,022
  4. Step 4: Simplify right side
    293,987.25x = 414,764,336,484
  5. Step 5: Solve for x
    x = 414,764,336,484/293,987.25
  6. Step 6: Final answer
    x = 1,410,824.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.