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Finding the Third Proportional to 320,996 and 759,121

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Solution

The third proportional to 320,996 and 759,121 is: 1,795,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,996 : 759,121 = 759,121 : x
  2. Step 2: Convert to fraction form
    320,996/759,121 = 759,121/x
  3. Step 3: Cross multiply
    320,996x = 759,121 × 759,121
  4. Step 4: Simplify right side
    320,996x = 576,264,692,641
  5. Step 5: Solve for x
    x = 576,264,692,641/320,996
  6. Step 6: Final answer
    x = 1,795,239.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.