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Finding the Third Proportional to 447,930 and 983,232

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Solution

The third proportional to 447,930 and 983,232 is: 2,158,250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,930 : 983,232 = 983,232 : x
  2. Step 2: Convert to fraction form
    447,930/983,232 = 983,232/x
  3. Step 3: Cross multiply
    447,930x = 983,232 × 983,232
  4. Step 4: Simplify right side
    447,930x = 966,745,165,824
  5. Step 5: Solve for x
    x = 966,745,165,824/447,930
  6. Step 6: Final answer
    x = 2,158,250.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.