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Finding the Third Proportional to 262,976 and 576,012

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Solution

The third proportional to 262,976 and 576,012 is: 1,261,673.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,976 : 576,012 = 576,012 : x
  2. Step 2: Convert to fraction form
    262,976/576,012 = 576,012/x
  3. Step 3: Cross multiply
    262,976x = 576,012 × 576,012
  4. Step 4: Simplify right side
    262,976x = 331,789,824,144
  5. Step 5: Solve for x
    x = 331,789,824,144/262,976
  6. Step 6: Final answer
    x = 1,261,673.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.