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Finding the Third Proportional to 364,796 and 545,734

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Solution

The third proportional to 364,796 and 545,734 is: 816,416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,796 : 545,734 = 545,734 : x
  2. Step 2: Convert to fraction form
    364,796/545,734 = 545,734/x
  3. Step 3: Cross multiply
    364,796x = 545,734 × 545,734
  4. Step 4: Simplify right side
    364,796x = 297,825,598,756
  5. Step 5: Solve for x
    x = 297,825,598,756/364,796
  6. Step 6: Final answer
    x = 816,416.84

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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.