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Finding the Third Proportional to 128,628 and 276,984

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Solution

The third proportional to 128,628 and 276,984 is: 596,449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,628 : 276,984 = 276,984 : x
  2. Step 2: Convert to fraction form
    128,628/276,984 = 276,984/x
  3. Step 3: Cross multiply
    128,628x = 276,984 × 276,984
  4. Step 4: Simplify right side
    128,628x = 76,720,136,256
  5. Step 5: Solve for x
    x = 76,720,136,256/128,628
  6. Step 6: Final answer
    x = 596,449.73

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.