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Finding the Third Proportional to 364,050 and 543,267

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Solution

The third proportional to 364,050 and 543,267 is: 810,710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,050 : 543,267 = 543,267 : x
  2. Step 2: Convert to fraction form
    364,050/543,267 = 543,267/x
  3. Step 3: Cross multiply
    364,050x = 543,267 × 543,267
  4. Step 4: Simplify right side
    364,050x = 295,139,033,289
  5. Step 5: Solve for x
    x = 295,139,033,289/364,050
  6. Step 6: Final answer
    x = 810,710.16

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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.