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Finding the Third Proportional to 350,568 and 767,476

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Solution

The third proportional to 350,568 and 767,476 is: 1,680,185.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,568 : 767,476 = 767,476 : x
  2. Step 2: Convert to fraction form
    350,568/767,476 = 767,476/x
  3. Step 3: Cross multiply
    350,568x = 767,476 × 767,476
  4. Step 4: Simplify right side
    350,568x = 589,019,410,576
  5. Step 5: Solve for x
    x = 589,019,410,576/350,568
  6. Step 6: Final answer
    x = 1,680,185.90

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Why These Related Problems?

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