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Finding the Third Proportional to 317,266.50 and 650,007

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Solution

The third proportional to 317,266.50 and 650,007 is: 1,331,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,266.50 : 650,007 = 650,007 : x
  2. Step 2: Convert to fraction form
    317,266.50/650,007 = 650,007/x
  3. Step 3: Cross multiply
    317,266.50x = 650,007 × 650,007
  4. Step 4: Simplify right side
    317,266.50x = 422,509,100,049
  5. Step 5: Solve for x
    x = 422,509,100,049/317,266.50
  6. Step 6: Final answer
    x = 1,331,716.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.