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Finding the Third Proportional to 413,965.69 and 622,998.84

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Solution

The third proportional to 413,965.69 and 622,998.84 is: 937,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,965.69 : 622,998.84 = 622,998.84 : x
  2. Step 2: Convert to fraction form
    413,965.69/622,998.84 = 622,998.84/x
  3. Step 3: Cross multiply
    413,965.69x = 622,998.84 × 622,998.84
  4. Step 4: Simplify right side
    413,965.69x = 388,127,559,313.84
  5. Step 5: Solve for x
    x = 388,127,559,313.84/413,965.69
  6. Step 6: Final answer
    x = 937,583.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.