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Finding the Third Proportional to 366,956 and 543,630

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Solution

The third proportional to 366,956 and 543,630 is: 805,365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,956 : 543,630 = 543,630 : x
  2. Step 2: Convert to fraction form
    366,956/543,630 = 543,630/x
  3. Step 3: Cross multiply
    366,956x = 543,630 × 543,630
  4. Step 4: Simplify right side
    366,956x = 295,533,576,900
  5. Step 5: Solve for x
    x = 295,533,576,900/366,956
  6. Step 6: Final answer
    x = 805,365.16

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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.