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Finding the Third Proportional to 370,098.75 and 796,329.75

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Solution

The third proportional to 370,098.75 and 796,329.75 is: 1,713,437.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,098.75 : 796,329.75 = 796,329.75 : x
  2. Step 2: Convert to fraction form
    370,098.75/796,329.75 = 796,329.75/x
  3. Step 3: Cross multiply
    370,098.75x = 796,329.75 × 796,329.75
  4. Step 4: Simplify right side
    370,098.75x = 634,141,070,735.06
  5. Step 5: Solve for x
    x = 634,141,070,735.06/370,098.75
  6. Step 6: Final answer
    x = 1,713,437.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.