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Finding the Third Proportional to 263,509 and 576,994

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Solution

The third proportional to 263,509 and 576,994 is: 1,263,418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,509 : 576,994 = 576,994 : x
  2. Step 2: Convert to fraction form
    263,509/576,994 = 576,994/x
  3. Step 3: Cross multiply
    263,509x = 576,994 × 576,994
  4. Step 4: Simplify right side
    263,509x = 332,922,076,036
  5. Step 5: Solve for x
    x = 332,922,076,036/263,509
  6. Step 6: Final answer
    x = 1,263,418.24

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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.