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Finding the Third Proportional to 543,838 and 605,074

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Solution

The third proportional to 543,838 and 605,074 is: 673,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,838 : 605,074 = 605,074 : x
  2. Step 2: Convert to fraction form
    543,838/605,074 = 605,074/x
  3. Step 3: Cross multiply
    543,838x = 605,074 × 605,074
  4. Step 4: Simplify right side
    543,838x = 366,114,545,476
  5. Step 5: Solve for x
    x = 366,114,545,476/543,838
  6. Step 6: Final answer
    x = 673,205.16

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.