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Finding the Third Proportional to 268,267.50 and 558,567

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Solution

The third proportional to 268,267.50 and 558,567 is: 1,163,007.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,267.50 : 558,567 = 558,567 : x
  2. Step 2: Convert to fraction form
    268,267.50/558,567 = 558,567/x
  3. Step 3: Cross multiply
    268,267.50x = 558,567 × 558,567
  4. Step 4: Simplify right side
    268,267.50x = 311,997,093,489
  5. Step 5: Solve for x
    x = 311,997,093,489/268,267.50
  6. Step 6: Final answer
    x = 1,163,007.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.