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Finding the Third Proportional to 268,528.50 and 584,982

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Solution

The third proportional to 268,528.50 and 584,982 is: 1,274,367.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,528.50 : 584,982 = 584,982 : x
  2. Step 2: Convert to fraction form
    268,528.50/584,982 = 584,982/x
  3. Step 3: Cross multiply
    268,528.50x = 584,982 × 584,982
  4. Step 4: Simplify right side
    268,528.50x = 342,203,940,324
  5. Step 5: Solve for x
    x = 342,203,940,324/268,528.50
  6. Step 6: Final answer
    x = 1,274,367.30

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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.