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Finding the Third Proportional to 255,982.50 and 568,781

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Solution

The third proportional to 255,982.50 and 568,781 is: 1,263,804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,982.50 : 568,781 = 568,781 : x
  2. Step 2: Convert to fraction form
    255,982.50/568,781 = 568,781/x
  3. Step 3: Cross multiply
    255,982.50x = 568,781 × 568,781
  4. Step 4: Simplify right side
    255,982.50x = 323,511,825,961
  5. Step 5: Solve for x
    x = 323,511,825,961/255,982.50
  6. Step 6: Final answer
    x = 1,263,804.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.