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Finding the Third Proportional to 288,353.25 and 443,823.75

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Solution

The third proportional to 288,353.25 and 443,823.75 is: 683,118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,353.25 : 443,823.75 = 443,823.75 : x
  2. Step 2: Convert to fraction form
    288,353.25/443,823.75 = 443,823.75/x
  3. Step 3: Cross multiply
    288,353.25x = 443,823.75 × 443,823.75
  4. Step 4: Simplify right side
    288,353.25x = 196,979,521,064.06
  5. Step 5: Solve for x
    x = 196,979,521,064.06/288,353.25
  6. Step 6: Final answer
    x = 683,118.78

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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.