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Finding the Third Proportional to 313,071.19 and 670,413.94

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Solution

The third proportional to 313,071.19 and 670,413.94 is: 1,435,631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,071.19 : 670,413.94 = 670,413.94 : x
  2. Step 2: Convert to fraction form
    313,071.19/670,413.94 = 670,413.94/x
  3. Step 3: Cross multiply
    313,071.19x = 670,413.94 × 670,413.94
  4. Step 4: Simplify right side
    313,071.19x = 449,454,847,594.25
  5. Step 5: Solve for x
    x = 449,454,847,594.25/313,071.19
  6. Step 6: Final answer
    x = 1,435,631.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.