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Finding the Third Proportional to 354,670.50 and 778,245

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Solution

The third proportional to 354,670.50 and 778,245 is: 1,707,684.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,670.50 : 778,245 = 778,245 : x
  2. Step 2: Convert to fraction form
    354,670.50/778,245 = 778,245/x
  3. Step 3: Cross multiply
    354,670.50x = 778,245 × 778,245
  4. Step 4: Simplify right side
    354,670.50x = 605,665,280,025
  5. Step 5: Solve for x
    x = 605,665,280,025/354,670.50
  6. Step 6: Final answer
    x = 1,707,684.40

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.