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Finding the Third Proportional to 259,284 and 388,932

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Solution

The third proportional to 259,284 and 388,932 is: 583,407.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,284 : 388,932 = 388,932 : x
  2. Step 2: Convert to fraction form
    259,284/388,932 = 388,932/x
  3. Step 3: Cross multiply
    259,284x = 388,932 × 388,932
  4. Step 4: Simplify right side
    259,284x = 151,268,100,624
  5. Step 5: Solve for x
    x = 151,268,100,624/259,284
  6. Step 6: Final answer
    x = 583,407.00

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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.