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Finding the Third Proportional to 388,161 and 848,733

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Solution

The third proportional to 388,161 and 848,733 is: 1,855,796.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,161 : 848,733 = 848,733 : x
  2. Step 2: Convert to fraction form
    388,161/848,733 = 848,733/x
  3. Step 3: Cross multiply
    388,161x = 848,733 × 848,733
  4. Step 4: Simplify right side
    388,161x = 720,347,705,289
  5. Step 5: Solve for x
    x = 720,347,705,289/388,161
  6. Step 6: Final answer
    x = 1,855,796.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.