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Finding the Third Proportional to 364,760 and 545,679

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Solution

The third proportional to 364,760 and 545,679 is: 816,332.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,760 : 545,679 = 545,679 : x
  2. Step 2: Convert to fraction form
    364,760/545,679 = 545,679/x
  3. Step 3: Cross multiply
    364,760x = 545,679 × 545,679
  4. Step 4: Simplify right side
    364,760x = 297,765,571,041
  5. Step 5: Solve for x
    x = 297,765,571,041/364,760
  6. Step 6: Final answer
    x = 816,332.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.