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Finding the Third Proportional to 268,529.50 and 584,984

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Solution

The third proportional to 268,529.50 and 584,984 is: 1,274,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,529.50 : 584,984 = 584,984 : x
  2. Step 2: Convert to fraction form
    268,529.50/584,984 = 584,984/x
  3. Step 3: Cross multiply
    268,529.50x = 584,984 × 584,984
  4. Step 4: Simplify right side
    268,529.50x = 342,206,280,256
  5. Step 5: Solve for x
    x = 342,206,280,256/268,529.50
  6. Step 6: Final answer
    x = 1,274,371.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.