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Finding the Third Proportional to 317,660.25 and 465,893.25

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Solution

The third proportional to 317,660.25 and 465,893.25 is: 683,297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,660.25 : 465,893.25 = 465,893.25 : x
  2. Step 2: Convert to fraction form
    317,660.25/465,893.25 = 465,893.25/x
  3. Step 3: Cross multiply
    317,660.25x = 465,893.25 × 465,893.25
  4. Step 4: Simplify right side
    317,660.25x = 217,056,520,395.56
  5. Step 5: Solve for x
    x = 217,056,520,395.56/317,660.25
  6. Step 6: Final answer
    x = 683,297.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.