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Finding the Third Proportional to 307,671.75 and 646,440.75

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Solution

The third proportional to 307,671.75 and 646,440.75 is: 1,358,219.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,671.75 : 646,440.75 = 646,440.75 : x
  2. Step 2: Convert to fraction form
    307,671.75/646,440.75 = 646,440.75/x
  3. Step 3: Cross multiply
    307,671.75x = 646,440.75 × 646,440.75
  4. Step 4: Simplify right side
    307,671.75x = 417,885,643,260.56
  5. Step 5: Solve for x
    x = 417,885,643,260.56/307,671.75
  6. Step 6: Final answer
    x = 1,358,219.09

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.