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Finding the Third Proportional to 397,005.75 and 937,048.50

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Solution

The third proportional to 397,005.75 and 937,048.50 is: 2,211,705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,005.75 : 937,048.50 = 937,048.50 : x
  2. Step 2: Convert to fraction form
    397,005.75/937,048.50 = 937,048.50/x
  3. Step 3: Cross multiply
    397,005.75x = 937,048.50 × 937,048.50
  4. Step 4: Simplify right side
    397,005.75x = 878,059,891,352.25
  5. Step 5: Solve for x
    x = 878,059,891,352.25/397,005.75
  6. Step 6: Final answer
    x = 2,211,705.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.