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Finding the Third Proportional to 300,635.72 and 626,148.14

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Solution

The third proportional to 300,635.72 and 626,148.14 is: 1,304,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,635.72 : 626,148.14 = 626,148.14 : x
  2. Step 2: Convert to fraction form
    300,635.72/626,148.14 = 626,148.14/x
  3. Step 3: Cross multiply
    300,635.72x = 626,148.14 × 626,148.14
  4. Step 4: Simplify right side
    300,635.72x = 392,061,494,008.15
  5. Step 5: Solve for x
    x = 392,061,494,008.15/300,635.72
  6. Step 6: Final answer
    x = 1,304,108.16

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