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Finding the Third Proportional to 202,830 and 440,004

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Solution

The third proportional to 202,830 and 440,004 is: 954,511.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,830 : 440,004 = 440,004 : x
  2. Step 2: Convert to fraction form
    202,830/440,004 = 440,004/x
  3. Step 3: Cross multiply
    202,830x = 440,004 × 440,004
  4. Step 4: Simplify right side
    202,830x = 193,603,520,016
  5. Step 5: Solve for x
    x = 193,603,520,016/202,830
  6. Step 6: Final answer
    x = 954,511.27

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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.