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Finding the Third Proportional to 350,824 and 756,996

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Solution

The third proportional to 350,824 and 756,996 is: 1,633,420.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,824 : 756,996 = 756,996 : x
  2. Step 2: Convert to fraction form
    350,824/756,996 = 756,996/x
  3. Step 3: Cross multiply
    350,824x = 756,996 × 756,996
  4. Step 4: Simplify right side
    350,824x = 573,042,944,016
  5. Step 5: Solve for x
    x = 573,042,944,016/350,824
  6. Step 6: Final answer
    x = 1,633,420.02

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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.