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Finding the Third Proportional to 317,491 and 476,193

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Solution

The third proportional to 317,491 and 476,193 is: 714,224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,491 : 476,193 = 476,193 : x
  2. Step 2: Convert to fraction form
    317,491/476,193 = 476,193/x
  3. Step 3: Cross multiply
    317,491x = 476,193 × 476,193
  4. Step 4: Simplify right side
    317,491x = 226,759,773,249
  5. Step 5: Solve for x
    x = 226,759,773,249/317,491
  6. Step 6: Final answer
    x = 714,224.26

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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.