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Finding the Third Proportional to 326,056 and 691,360

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Solution

The third proportional to 326,056 and 691,360 is: 1,465,940.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,056 : 691,360 = 691,360 : x
  2. Step 2: Convert to fraction form
    326,056/691,360 = 691,360/x
  3. Step 3: Cross multiply
    326,056x = 691,360 × 691,360
  4. Step 4: Simplify right side
    326,056x = 477,978,649,600
  5. Step 5: Solve for x
    x = 477,978,649,600/326,056
  6. Step 6: Final answer
    x = 1,465,940.36

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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.