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Finding the Third Proportional to 289,180 and 626,616

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Solution

The third proportional to 289,180 and 626,616 is: 1,357,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,180 : 626,616 = 626,616 : x
  2. Step 2: Convert to fraction form
    289,180/626,616 = 626,616/x
  3. Step 3: Cross multiply
    289,180x = 626,616 × 626,616
  4. Step 4: Simplify right side
    289,180x = 392,647,611,456
  5. Step 5: Solve for x
    x = 392,647,611,456/289,180
  6. Step 6: Final answer
    x = 1,357,796.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.