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Finding the Third Proportional to 288,605.25 and 443,979

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Solution

The third proportional to 288,605.25 and 443,979 is: 682,999.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,605.25 : 443,979 = 443,979 : x
  2. Step 2: Convert to fraction form
    288,605.25/443,979 = 443,979/x
  3. Step 3: Cross multiply
    288,605.25x = 443,979 × 443,979
  4. Step 4: Simplify right side
    288,605.25x = 197,117,352,441
  5. Step 5: Solve for x
    x = 197,117,352,441/288,605.25
  6. Step 6: Final answer
    x = 682,999.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.