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Finding the Third Proportional to 300,734.25 and 626,349

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Solution

The third proportional to 300,734.25 and 626,349 is: 1,304,517.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,734.25 : 626,349 = 626,349 : x
  2. Step 2: Convert to fraction form
    300,734.25/626,349 = 626,349/x
  3. Step 3: Cross multiply
    300,734.25x = 626,349 × 626,349
  4. Step 4: Simplify right side
    300,734.25x = 392,313,069,801
  5. Step 5: Solve for x
    x = 392,313,069,801/300,734.25
  6. Step 6: Final answer
    x = 1,304,517.43

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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.