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Finding the Third Proportional to 258,522 and 388,056

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Solution

The third proportional to 258,522 and 388,056 is: 582,493.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,522 : 388,056 = 388,056 : x
  2. Step 2: Convert to fraction form
    258,522/388,056 = 388,056/x
  3. Step 3: Cross multiply
    258,522x = 388,056 × 388,056
  4. Step 4: Simplify right side
    258,522x = 150,587,459,136
  5. Step 5: Solve for x
    x = 150,587,459,136/258,522
  6. Step 6: Final answer
    x = 582,493.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.