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Finding the Third Proportional to 307,956.94 and 460,682.44

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Solution

The third proportional to 307,956.94 and 460,682.44 is: 689,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,956.94 : 460,682.44 = 460,682.44 : x
  2. Step 2: Convert to fraction form
    307,956.94/460,682.44 = 460,682.44/x
  3. Step 3: Cross multiply
    307,956.94x = 460,682.44 × 460,682.44
  4. Step 4: Simplify right side
    307,956.94x = 212,228,308,220.94
  5. Step 5: Solve for x
    x = 212,228,308,220.94/307,956.94
  6. Step 6: Final answer
    x = 689,149.30

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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.