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Finding the Third Proportional to 351,803.75 and 829,653.75

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Solution

The third proportional to 351,803.75 and 829,653.75 is: 1,956,560.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,803.75 : 829,653.75 = 829,653.75 : x
  2. Step 2: Convert to fraction form
    351,803.75/829,653.75 = 829,653.75/x
  3. Step 3: Cross multiply
    351,803.75x = 829,653.75 × 829,653.75
  4. Step 4: Simplify right side
    351,803.75x = 688,325,344,889.06
  5. Step 5: Solve for x
    x = 688,325,344,889.06/351,803.75
  6. Step 6: Final answer
    x = 1,956,560.57

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.