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Finding the Third Proportional to 364,756 and 545,674

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Solution

The third proportional to 364,756 and 545,674 is: 816,326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,756 : 545,674 = 545,674 : x
  2. Step 2: Convert to fraction form
    364,756/545,674 = 545,674/x
  3. Step 3: Cross multiply
    364,756x = 545,674 × 545,674
  4. Step 4: Simplify right side
    364,756x = 297,760,114,276
  5. Step 5: Solve for x
    x = 297,760,114,276/364,756
  6. Step 6: Final answer
    x = 816,326.84

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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.