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Finding the Third Proportional to 637,820.50 and 919,004

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Solution

The third proportional to 637,820.50 and 919,004 is: 1,324,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,820.50 : 919,004 = 919,004 : x
  2. Step 2: Convert to fraction form
    637,820.50/919,004 = 919,004/x
  3. Step 3: Cross multiply
    637,820.50x = 919,004 × 919,004
  4. Step 4: Simplify right side
    637,820.50x = 844,568,352,016
  5. Step 5: Solve for x
    x = 844,568,352,016/637,820.50
  6. Step 6: Final answer
    x = 1,324,147.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.