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Finding the Third Proportional to 366,978 and 607,355

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Solution

The third proportional to 366,978 and 607,355 is: 1,005,183.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,978 : 607,355 = 607,355 : x
  2. Step 2: Convert to fraction form
    366,978/607,355 = 607,355/x
  3. Step 3: Cross multiply
    366,978x = 607,355 × 607,355
  4. Step 4: Simplify right side
    366,978x = 368,880,096,025
  5. Step 5: Solve for x
    x = 368,880,096,025/366,978
  6. Step 6: Final answer
    x = 1,005,183.13

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.