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Finding the Third Proportional to 322,467.75 and 683,352

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Solution

The third proportional to 322,467.75 and 683,352 is: 1,448,113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,467.75 : 683,352 = 683,352 : x
  2. Step 2: Convert to fraction form
    322,467.75/683,352 = 683,352/x
  3. Step 3: Cross multiply
    322,467.75x = 683,352 × 683,352
  4. Step 4: Simplify right side
    322,467.75x = 466,969,955,904
  5. Step 5: Solve for x
    x = 466,969,955,904/322,467.75
  6. Step 6: Final answer
    x = 1,448,113.67

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