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Finding the Third Proportional to 223,424 and 462,400

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Solution

The third proportional to 223,424 and 462,400 is: 956,986.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,424 : 462,400 = 462,400 : x
  2. Step 2: Convert to fraction form
    223,424/462,400 = 462,400/x
  3. Step 3: Cross multiply
    223,424x = 462,400 × 462,400
  4. Step 4: Simplify right side
    223,424x = 213,813,760,000
  5. Step 5: Solve for x
    x = 213,813,760,000/223,424
  6. Step 6: Final answer
    x = 956,986.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.