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Finding the Third Proportional to 203,582 and 443,304

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Solution

The third proportional to 203,582 and 443,304 is: 965,303.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,582 : 443,304 = 443,304 : x
  2. Step 2: Convert to fraction form
    203,582/443,304 = 443,304/x
  3. Step 3: Cross multiply
    203,582x = 443,304 × 443,304
  4. Step 4: Simplify right side
    203,582x = 196,518,436,416
  5. Step 5: Solve for x
    x = 196,518,436,416/203,582
  6. Step 6: Final answer
    x = 965,303.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.