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Finding the Third Proportional to 228,220 and 490,837

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Solution

The third proportional to 228,220 and 490,837 is: 1,055,652.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,220 : 490,837 = 490,837 : x
  2. Step 2: Convert to fraction form
    228,220/490,837 = 490,837/x
  3. Step 3: Cross multiply
    228,220x = 490,837 × 490,837
  4. Step 4: Simplify right side
    228,220x = 240,920,960,569
  5. Step 5: Solve for x
    x = 240,920,960,569/228,220
  6. Step 6: Final answer
    x = 1,055,652.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.