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Finding the Third Proportional to 258,526 and 388,062

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Solution

The third proportional to 258,526 and 388,062 is: 582,502.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,526 : 388,062 = 388,062 : x
  2. Step 2: Convert to fraction form
    258,526/388,062 = 388,062/x
  3. Step 3: Cross multiply
    258,526x = 388,062 × 388,062
  4. Step 4: Simplify right side
    258,526x = 150,592,115,844
  5. Step 5: Solve for x
    x = 150,592,115,844/258,526
  6. Step 6: Final answer
    x = 582,502.79

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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.