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Finding the Third Proportional to 350,304 and 755,616

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Solution

The third proportional to 350,304 and 755,616 is: 1,629,885.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,304 : 755,616 = 755,616 : x
  2. Step 2: Convert to fraction form
    350,304/755,616 = 755,616/x
  3. Step 3: Cross multiply
    350,304x = 755,616 × 755,616
  4. Step 4: Simplify right side
    350,304x = 570,955,539,456
  5. Step 5: Solve for x
    x = 570,955,539,456/350,304
  6. Step 6: Final answer
    x = 1,629,885.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.