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Finding the Third Proportional to 263,265.75 and 569,997

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Solution

The third proportional to 263,265.75 and 569,997 is: 1,234,101.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,265.75 : 569,997 = 569,997 : x
  2. Step 2: Convert to fraction form
    263,265.75/569,997 = 569,997/x
  3. Step 3: Cross multiply
    263,265.75x = 569,997 × 569,997
  4. Step 4: Simplify right side
    263,265.75x = 324,896,580,009
  5. Step 5: Solve for x
    x = 324,896,580,009/263,265.75
  6. Step 6: Final answer
    x = 1,234,101.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.