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Finding the Third Proportional to 275,722.50 and 433,266

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Solution

The third proportional to 275,722.50 and 433,266 is: 680,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,722.50 : 433,266 = 433,266 : x
  2. Step 2: Convert to fraction form
    275,722.50/433,266 = 433,266/x
  3. Step 3: Cross multiply
    275,722.50x = 433,266 × 433,266
  4. Step 4: Simplify right side
    275,722.50x = 187,719,426,756
  5. Step 5: Solve for x
    x = 187,719,426,756/275,722.50
  6. Step 6: Final answer
    x = 680,827.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.