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Finding the Third Proportional to 288,016.50 and 672,873.75

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Solution

The third proportional to 288,016.50 and 672,873.75 is: 1,571,990.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,016.50 : 672,873.75 = 672,873.75 : x
  2. Step 2: Convert to fraction form
    288,016.50/672,873.75 = 672,873.75/x
  3. Step 3: Cross multiply
    288,016.50x = 672,873.75 × 672,873.75
  4. Step 4: Simplify right side
    288,016.50x = 452,759,083,439.06
  5. Step 5: Solve for x
    x = 452,759,083,439.06/288,016.50
  6. Step 6: Final answer
    x = 1,571,990.09

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.