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Finding the Third Proportional to 412,588.50 and 621,614.25

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Solution

The third proportional to 412,588.50 and 621,614.25 is: 936,536.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,588.50 : 621,614.25 = 621,614.25 : x
  2. Step 2: Convert to fraction form
    412,588.50/621,614.25 = 621,614.25/x
  3. Step 3: Cross multiply
    412,588.50x = 621,614.25 × 621,614.25
  4. Step 4: Simplify right side
    412,588.50x = 386,404,275,803.06
  5. Step 5: Solve for x
    x = 386,404,275,803.06/412,588.50
  6. Step 6: Final answer
    x = 936,536.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.