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Finding the Third Proportional to 366,940 and 543,606

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Solution

The third proportional to 366,940 and 543,606 is: 805,329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,940 : 543,606 = 543,606 : x
  2. Step 2: Convert to fraction form
    366,940/543,606 = 543,606/x
  3. Step 3: Cross multiply
    366,940x = 543,606 × 543,606
  4. Step 4: Simplify right side
    366,940x = 295,507,483,236
  5. Step 5: Solve for x
    x = 295,507,483,236/366,940
  6. Step 6: Final answer
    x = 805,329.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.