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Finding the Third Proportional to 350,660 and 766,936

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Solution

The third proportional to 350,660 and 766,936 is: 1,677,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,660 : 766,936 = 766,936 : x
  2. Step 2: Convert to fraction form
    350,660/766,936 = 766,936/x
  3. Step 3: Cross multiply
    350,660x = 766,936 × 766,936
  4. Step 4: Simplify right side
    350,660x = 588,190,828,096
  5. Step 5: Solve for x
    x = 588,190,828,096/350,660
  6. Step 6: Final answer
    x = 1,677,382.16

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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.