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Finding the Third Proportional to 294,676 and 636,304

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Solution

The third proportional to 294,676 and 636,304 is: 1,373,993.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,676 : 636,304 = 636,304 : x
  2. Step 2: Convert to fraction form
    294,676/636,304 = 636,304/x
  3. Step 3: Cross multiply
    294,676x = 636,304 × 636,304
  4. Step 4: Simplify right side
    294,676x = 404,882,780,416
  5. Step 5: Solve for x
    x = 404,882,780,416/294,676
  6. Step 6: Final answer
    x = 1,373,993.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.