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Finding the Third Proportional to 366,962 and 543,639

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Solution

The third proportional to 366,962 and 543,639 is: 805,378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,962 : 543,639 = 543,639 : x
  2. Step 2: Convert to fraction form
    366,962/543,639 = 543,639/x
  3. Step 3: Cross multiply
    366,962x = 543,639 × 543,639
  4. Step 4: Simplify right side
    366,962x = 295,543,362,321
  5. Step 5: Solve for x
    x = 295,543,362,321/366,962
  6. Step 6: Final answer
    x = 805,378.66

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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.