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Finding the Third Proportional to 344,994.19 and 805,843.69

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Solution

The third proportional to 344,994.19 and 805,843.69 is: 1,882,304.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,994.19 : 805,843.69 = 805,843.69 : x
  2. Step 2: Convert to fraction form
    344,994.19/805,843.69 = 805,843.69/x
  3. Step 3: Cross multiply
    344,994.19x = 805,843.69 × 805,843.69
  4. Step 4: Simplify right side
    344,994.19x = 649,384,048,683.60
  5. Step 5: Solve for x
    x = 649,384,048,683.60/344,994.19
  6. Step 6: Final answer
    x = 1,882,304.32

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.