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Finding the Third Proportional to 312,043.50 and 684,945

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Solution

The third proportional to 312,043.50 and 684,945 is: 1,503,475.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,043.50 : 684,945 = 684,945 : x
  2. Step 2: Convert to fraction form
    312,043.50/684,945 = 684,945/x
  3. Step 3: Cross multiply
    312,043.50x = 684,945 × 684,945
  4. Step 4: Simplify right side
    312,043.50x = 469,149,653,025
  5. Step 5: Solve for x
    x = 469,149,653,025/312,043.50
  6. Step 6: Final answer
    x = 1,503,475.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.