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Finding the Third Proportional to 245,110 and 512,667

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Solution

The third proportional to 245,110 and 512,667 is: 1,072,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,110 : 512,667 = 512,667 : x
  2. Step 2: Convert to fraction form
    245,110/512,667 = 512,667/x
  3. Step 3: Cross multiply
    245,110x = 512,667 × 512,667
  4. Step 4: Simplify right side
    245,110x = 262,827,452,889
  5. Step 5: Solve for x
    x = 262,827,452,889/245,110
  6. Step 6: Final answer
    x = 1,072,283.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.