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Finding the Third Proportional to 364,110 and 543,345

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Solution

The third proportional to 364,110 and 543,345 is: 810,809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,110 : 543,345 = 543,345 : x
  2. Step 2: Convert to fraction form
    364,110/543,345 = 543,345/x
  3. Step 3: Cross multiply
    364,110x = 543,345 × 543,345
  4. Step 4: Simplify right side
    364,110x = 295,223,789,025
  5. Step 5: Solve for x
    x = 295,223,789,025/364,110
  6. Step 6: Final answer
    x = 810,809.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.