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Finding the Third Proportional to 348,413.50 and 763,259

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Solution

The third proportional to 348,413.50 and 763,259 is: 1,672,048.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,413.50 : 763,259 = 763,259 : x
  2. Step 2: Convert to fraction form
    348,413.50/763,259 = 763,259/x
  3. Step 3: Cross multiply
    348,413.50x = 763,259 × 763,259
  4. Step 4: Simplify right side
    348,413.50x = 582,564,301,081
  5. Step 5: Solve for x
    x = 582,564,301,081/348,413.50
  6. Step 6: Final answer
    x = 1,672,048.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.