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Finding the Third Proportional to 268,000 and 535,999

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Solution

The third proportional to 268,000 and 535,999 is: 1,071,996.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,000 : 535,999 = 535,999 : x
  2. Step 2: Convert to fraction form
    268,000/535,999 = 535,999/x
  3. Step 3: Cross multiply
    268,000x = 535,999 × 535,999
  4. Step 4: Simplify right side
    268,000x = 287,294,928,001
  5. Step 5: Solve for x
    x = 287,294,928,001/268,000
  6. Step 6: Final answer
    x = 1,071,996.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.