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Finding the Third Proportional to 367,966 and 543,748

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Solution

The third proportional to 367,966 and 543,748 is: 803,503.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,966 : 543,748 = 543,748 : x
  2. Step 2: Convert to fraction form
    367,966/543,748 = 543,748/x
  3. Step 3: Cross multiply
    367,966x = 543,748 × 543,748
  4. Step 4: Simplify right side
    367,966x = 295,661,887,504
  5. Step 5: Solve for x
    x = 295,661,887,504/367,966
  6. Step 6: Final answer
    x = 803,503.28

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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.