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Finding the Third Proportional to 447,932 and 983,236

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Solution

The third proportional to 447,932 and 983,236 is: 2,158,258.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,932 : 983,236 = 983,236 : x
  2. Step 2: Convert to fraction form
    447,932/983,236 = 983,236/x
  3. Step 3: Cross multiply
    447,932x = 983,236 × 983,236
  4. Step 4: Simplify right side
    447,932x = 966,753,031,696
  5. Step 5: Solve for x
    x = 966,753,031,696/447,932
  6. Step 6: Final answer
    x = 2,158,258.47

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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.