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Finding the Third Proportional to 364,891.50 and 545,872.50

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Solution

The third proportional to 364,891.50 and 545,872.50 is: 816,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,891.50 : 545,872.50 = 545,872.50 : x
  2. Step 2: Convert to fraction form
    364,891.50/545,872.50 = 545,872.50/x
  3. Step 3: Cross multiply
    364,891.50x = 545,872.50 × 545,872.50
  4. Step 4: Simplify right side
    364,891.50x = 297,976,786,256.25
  5. Step 5: Solve for x
    x = 297,976,786,256.25/364,891.50
  6. Step 6: Final answer
    x = 816,617.50

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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.