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Finding the Third Proportional to 335,796.38 and 725,721

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Solution

The third proportional to 335,796.38 and 725,721 is: 1,568,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,796.38 : 725,721 = 725,721 : x
  2. Step 2: Convert to fraction form
    335,796.38/725,721 = 725,721/x
  3. Step 3: Cross multiply
    335,796.38x = 725,721 × 725,721
  4. Step 4: Simplify right side
    335,796.38x = 526,670,969,841
  5. Step 5: Solve for x
    x = 526,670,969,841/335,796.38
  6. Step 6: Final answer
    x = 1,568,423.63

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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.