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Finding the Third Proportional to 312,963.75 and 675,816.75

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Solution

The third proportional to 312,963.75 and 675,816.75 is: 1,459,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,963.75 : 675,816.75 = 675,816.75 : x
  2. Step 2: Convert to fraction form
    312,963.75/675,816.75 = 675,816.75/x
  3. Step 3: Cross multiply
    312,963.75x = 675,816.75 × 675,816.75
  4. Step 4: Simplify right side
    312,963.75x = 456,728,279,580.56
  5. Step 5: Solve for x
    x = 456,728,279,580.56/312,963.75
  6. Step 6: Final answer
    x = 1,459,364.80

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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.