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Finding the Third Proportional to 375,682.50 and 550,037.25

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Solution

The third proportional to 375,682.50 and 550,037.25 is: 805,310.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,682.50 : 550,037.25 = 550,037.25 : x
  2. Step 2: Convert to fraction form
    375,682.50/550,037.25 = 550,037.25/x
  3. Step 3: Cross multiply
    375,682.50x = 550,037.25 × 550,037.25
  4. Step 4: Simplify right side
    375,682.50x = 302,540,976,387.56
  5. Step 5: Solve for x
    x = 302,540,976,387.56/375,682.50
  6. Step 6: Final answer
    x = 805,310.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.