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Finding the Third Proportional to 317,158 and 475,635

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Solution

The third proportional to 317,158 and 475,635 is: 713,299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,158 : 475,635 = 475,635 : x
  2. Step 2: Convert to fraction form
    317,158/475,635 = 475,635/x
  3. Step 3: Cross multiply
    317,158x = 475,635 × 475,635
  4. Step 4: Simplify right side
    317,158x = 226,228,653,225
  5. Step 5: Solve for x
    x = 226,228,653,225/317,158
  6. Step 6: Final answer
    x = 713,299.53

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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.