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Finding the Third Proportional to 317,493 and 476,196

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Solution

The third proportional to 317,493 and 476,196 is: 714,228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,493 : 476,196 = 476,196 : x
  2. Step 2: Convert to fraction form
    317,493/476,196 = 476,196/x
  3. Step 3: Cross multiply
    317,493x = 476,196 × 476,196
  4. Step 4: Simplify right side
    317,493x = 226,762,630,416
  5. Step 5: Solve for x
    x = 226,762,630,416/317,493
  6. Step 6: Final answer
    x = 714,228.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.