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Finding the Third Proportional to 300,639.09 and 626,154.47

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Solution

The third proportional to 300,639.09 and 626,154.47 is: 1,304,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,639.09 : 626,154.47 = 626,154.47 : x
  2. Step 2: Convert to fraction form
    300,639.09/626,154.47 = 626,154.47/x
  3. Step 3: Cross multiply
    300,639.09x = 626,154.47 × 626,154.47
  4. Step 4: Simplify right side
    300,639.09x = 392,069,418,735.60
  5. Step 5: Solve for x
    x = 392,069,418,735.60/300,639.09
  6. Step 6: Final answer
    x = 1,304,119.88

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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.