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Finding the Third Proportional to 350,652.38 and 766,914.75

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Solution

The third proportional to 350,652.38 and 766,914.75 is: 1,677,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,652.38 : 766,914.75 = 766,914.75 : x
  2. Step 2: Convert to fraction form
    350,652.38/766,914.75 = 766,914.75/x
  3. Step 3: Cross multiply
    350,652.38x = 766,914.75 × 766,914.75
  4. Step 4: Simplify right side
    350,652.38x = 588,158,233,767.56
  5. Step 5: Solve for x
    x = 588,158,233,767.56/350,652.38
  6. Step 6: Final answer
    x = 1,677,325.68

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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.