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Finding the Third Proportional to 314,760.94 and 673,692.19

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Solution

The third proportional to 314,760.94 and 673,692.19 is: 1,441,923.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,760.94 : 673,692.19 = 673,692.19 : x
  2. Step 2: Convert to fraction form
    314,760.94/673,692.19 = 673,692.19/x
  3. Step 3: Cross multiply
    314,760.94x = 673,692.19 × 673,692.19
  4. Step 4: Simplify right side
    314,760.94x = 453,861,163,498.54
  5. Step 5: Solve for x
    x = 453,861,163,498.54/314,760.94
  6. Step 6: Final answer
    x = 1,441,923.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.