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Finding the Third Proportional to 340,704 and 725,112

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Solution

The third proportional to 340,704 and 725,112 is: 1,543,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,704 : 725,112 = 725,112 : x
  2. Step 2: Convert to fraction form
    340,704/725,112 = 725,112/x
  3. Step 3: Cross multiply
    340,704x = 725,112 × 725,112
  4. Step 4: Simplify right side
    340,704x = 525,787,412,544
  5. Step 5: Solve for x
    x = 525,787,412,544/340,704
  6. Step 6: Final answer
    x = 1,543,238.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.