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Finding the Third Proportional to 307,683.56 and 465,633.56

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Solution

The third proportional to 307,683.56 and 465,633.56 is: 704,667.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,683.56 : 465,633.56 = 465,633.56 : x
  2. Step 2: Convert to fraction form
    307,683.56/465,633.56 = 465,633.56/x
  3. Step 3: Cross multiply
    307,683.56x = 465,633.56 × 465,633.56
  4. Step 4: Simplify right side
    307,683.56x = 216,814,614,526.44
  5. Step 5: Solve for x
    x = 216,814,614,526.44/307,683.56
  6. Step 6: Final answer
    x = 704,667.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.