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Finding the Third Proportional to 229,458.38 and 486,267.75

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Solution

The third proportional to 229,458.38 and 486,267.75 is: 1,030,497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,458.38 : 486,267.75 = 486,267.75 : x
  2. Step 2: Convert to fraction form
    229,458.38/486,267.75 = 486,267.75/x
  3. Step 3: Cross multiply
    229,458.38x = 486,267.75 × 486,267.75
  4. Step 4: Simplify right side
    229,458.38x = 236,456,324,690.06
  5. Step 5: Solve for x
    x = 236,456,324,690.06/229,458.38
  6. Step 6: Final answer
    x = 1,030,497.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.