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Finding the Third Proportional to 307,194 and 673,434.75

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Solution

The third proportional to 307,194 and 673,434.75 is: 1,476,312.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,194 : 673,434.75 = 673,434.75 : x
  2. Step 2: Convert to fraction form
    307,194/673,434.75 = 673,434.75/x
  3. Step 3: Cross multiply
    307,194x = 673,434.75 × 673,434.75
  4. Step 4: Simplify right side
    307,194x = 453,514,362,507.56
  5. Step 5: Solve for x
    x = 453,514,362,507.56/307,194
  6. Step 6: Final answer
    x = 1,476,312.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.