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Finding the Third Proportional to 322,276 and 691,184

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Solution

The third proportional to 322,276 and 691,184 is: 1,482,379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,276 : 691,184 = 691,184 : x
  2. Step 2: Convert to fraction form
    322,276/691,184 = 691,184/x
  3. Step 3: Cross multiply
    322,276x = 691,184 × 691,184
  4. Step 4: Simplify right side
    322,276x = 477,735,321,856
  5. Step 5: Solve for x
    x = 477,735,321,856/322,276
  6. Step 6: Final answer
    x = 1,482,379.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.