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Finding the Third Proportional to 310,624.88 and 670,183.88

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Solution

The third proportional to 310,624.88 and 670,183.88 is: 1,445,944.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,624.88 : 670,183.88 = 670,183.88 : x
  2. Step 2: Convert to fraction form
    310,624.88/670,183.88 = 670,183.88/x
  3. Step 3: Cross multiply
    310,624.88x = 670,183.88 × 670,183.88
  4. Step 4: Simplify right side
    310,624.88x = 449,146,426,310.02
  5. Step 5: Solve for x
    x = 449,146,426,310.02/310,624.88
  6. Step 6: Final answer
    x = 1,445,944.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.