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Finding the Third Proportional to 322,298.44 and 683,015.34

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Solution

The third proportional to 322,298.44 and 683,015.34 is: 1,447,447.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,298.44 : 683,015.34 = 683,015.34 : x
  2. Step 2: Convert to fraction form
    322,298.44/683,015.34 = 683,015.34/x
  3. Step 3: Cross multiply
    322,298.44x = 683,015.34 × 683,015.34
  4. Step 4: Simplify right side
    322,298.44x = 466,509,959,797.93
  5. Step 5: Solve for x
    x = 466,509,959,797.93/322,298.44
  6. Step 6: Final answer
    x = 1,447,447.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.