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Finding the Third Proportional to 368,080 and 751,640

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Solution

The third proportional to 368,080 and 751,640 is: 1,534,891.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,080 : 751,640 = 751,640 : x
  2. Step 2: Convert to fraction form
    368,080/751,640 = 751,640/x
  3. Step 3: Cross multiply
    368,080x = 751,640 × 751,640
  4. Step 4: Simplify right side
    368,080x = 564,962,689,600
  5. Step 5: Solve for x
    x = 564,962,689,600/368,080
  6. Step 6: Final answer
    x = 1,534,891.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.