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Finding the Third Proportional to 350,838 and 760,968

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Solution

The third proportional to 350,838 and 760,968 is: 1,650,540.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,838 : 760,968 = 760,968 : x
  2. Step 2: Convert to fraction form
    350,838/760,968 = 760,968/x
  3. Step 3: Cross multiply
    350,838x = 760,968 × 760,968
  4. Step 4: Simplify right side
    350,838x = 579,072,297,024
  5. Step 5: Solve for x
    x = 579,072,297,024/350,838
  6. Step 6: Final answer
    x = 1,650,540.41

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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.