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Finding the Third Proportional to 302,826.75 and 441,096

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Solution

The third proportional to 302,826.75 and 441,096 is: 642,498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,826.75 : 441,096 = 441,096 : x
  2. Step 2: Convert to fraction form
    302,826.75/441,096 = 441,096/x
  3. Step 3: Cross multiply
    302,826.75x = 441,096 × 441,096
  4. Step 4: Simplify right side
    302,826.75x = 194,565,681,216
  5. Step 5: Solve for x
    x = 194,565,681,216/302,826.75
  6. Step 6: Final answer
    x = 642,498.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.