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Finding the Third Proportional to 300,735.38 and 626,350.88

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Solution

The third proportional to 300,735.38 and 626,350.88 is: 1,304,520.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,735.38 : 626,350.88 = 626,350.88 : x
  2. Step 2: Convert to fraction form
    300,735.38/626,350.88 = 626,350.88/x
  3. Step 3: Cross multiply
    300,735.38x = 626,350.88 × 626,350.88
  4. Step 4: Simplify right side
    300,735.38x = 392,315,418,613.27
  5. Step 5: Solve for x
    x = 392,315,418,613.27/300,735.38
  6. Step 6: Final answer
    x = 1,304,520.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.