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Finding the Third Proportional to 350,328 and 770,640

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Solution

The third proportional to 350,328 and 770,640 is: 1,695,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,328 : 770,640 = 770,640 : x
  2. Step 2: Convert to fraction form
    350,328/770,640 = 770,640/x
  3. Step 3: Cross multiply
    350,328x = 770,640 × 770,640
  4. Step 4: Simplify right side
    350,328x = 593,886,009,600
  5. Step 5: Solve for x
    x = 593,886,009,600/350,328
  6. Step 6: Final answer
    x = 1,695,228.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.