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Finding the Third Proportional to 317,214 and 463,162

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Solution

The third proportional to 317,214 and 463,162 is: 676,259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,214 : 463,162 = 463,162 : x
  2. Step 2: Convert to fraction form
    317,214/463,162 = 463,162/x
  3. Step 3: Cross multiply
    317,214x = 463,162 × 463,162
  4. Step 4: Simplify right side
    317,214x = 214,519,038,244
  5. Step 5: Solve for x
    x = 214,519,038,244/317,214
  6. Step 6: Final answer
    x = 676,259.68

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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.