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Finding the Third Proportional to 380,707.50 and 827,025

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Solution

The third proportional to 380,707.50 and 827,025 is: 1,796,577.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,707.50 : 827,025 = 827,025 : x
  2. Step 2: Convert to fraction form
    380,707.50/827,025 = 827,025/x
  3. Step 3: Cross multiply
    380,707.50x = 827,025 × 827,025
  4. Step 4: Simplify right side
    380,707.50x = 683,970,350,625
  5. Step 5: Solve for x
    x = 683,970,350,625/380,707.50
  6. Step 6: Final answer
    x = 1,796,577.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.