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Finding the Third Proportional to 269,647.28 and 585,130.44

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Solution

The third proportional to 269,647.28 and 585,130.44 is: 1,269,724.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,647.28 : 585,130.44 = 585,130.44 : x
  2. Step 2: Convert to fraction form
    269,647.28/585,130.44 = 585,130.44/x
  3. Step 3: Cross multiply
    269,647.28x = 585,130.44 × 585,130.44
  4. Step 4: Simplify right side
    269,647.28x = 342,377,628,888.94
  5. Step 5: Solve for x
    x = 342,377,628,888.94/269,647.28
  6. Step 6: Final answer
    x = 1,269,724.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.