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Finding the Third Proportional to 263,418.75 and 559,649.25

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Solution

The third proportional to 263,418.75 and 559,649.25 is: 1,189,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,418.75 : 559,649.25 = 559,649.25 : x
  2. Step 2: Convert to fraction form
    263,418.75/559,649.25 = 559,649.25/x
  3. Step 3: Cross multiply
    263,418.75x = 559,649.25 × 559,649.25
  4. Step 4: Simplify right side
    263,418.75x = 313,207,283,025.56
  5. Step 5: Solve for x
    x = 313,207,283,025.56/263,418.75
  6. Step 6: Final answer
    x = 1,189,009.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.