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Finding the Third Proportional to 300,807 and 626,400

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Solution

The third proportional to 300,807 and 626,400 is: 1,304,414.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,807 : 626,400 = 626,400 : x
  2. Step 2: Convert to fraction form
    300,807/626,400 = 626,400/x
  3. Step 3: Cross multiply
    300,807x = 626,400 × 626,400
  4. Step 4: Simplify right side
    300,807x = 392,376,960,000
  5. Step 5: Solve for x
    x = 392,376,960,000/300,807
  6. Step 6: Final answer
    x = 1,304,414.33

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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.