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Finding the Third Proportional to 548,226.75 and 822,339.75

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Solution

The third proportional to 548,226.75 and 822,339.75 is: 1,233,509.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,226.75 : 822,339.75 = 822,339.75 : x
  2. Step 2: Convert to fraction form
    548,226.75/822,339.75 = 822,339.75/x
  3. Step 3: Cross multiply
    548,226.75x = 822,339.75 × 822,339.75
  4. Step 4: Simplify right side
    548,226.75x = 676,242,664,430.06
  5. Step 5: Solve for x
    x = 676,242,664,430.06/548,226.75
  6. Step 6: Final answer
    x = 1,233,509.06

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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.