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Finding the Third Proportional to 317,202 and 463,147

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Solution

The third proportional to 317,202 and 463,147 is: 676,241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,202 : 463,147 = 463,147 : x
  2. Step 2: Convert to fraction form
    317,202/463,147 = 463,147/x
  3. Step 3: Cross multiply
    317,202x = 463,147 × 463,147
  4. Step 4: Simplify right side
    317,202x = 214,505,143,609
  5. Step 5: Solve for x
    x = 214,505,143,609/317,202
  6. Step 6: Final answer
    x = 676,241.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.