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Finding the Third Proportional to 380,117 and 816,390

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Solution

The third proportional to 380,117 and 816,390 is: 1,753,388.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,117 : 816,390 = 816,390 : x
  2. Step 2: Convert to fraction form
    380,117/816,390 = 816,390/x
  3. Step 3: Cross multiply
    380,117x = 816,390 × 816,390
  4. Step 4: Simplify right side
    380,117x = 666,492,632,100
  5. Step 5: Solve for x
    x = 666,492,632,100/380,117
  6. Step 6: Final answer
    x = 1,753,388.12

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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.