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Finding the Third Proportional to 268,220 and 579,997

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Solution

The third proportional to 268,220 and 579,997 is: 1,254,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,220 : 579,997 = 579,997 : x
  2. Step 2: Convert to fraction form
    268,220/579,997 = 579,997/x
  3. Step 3: Cross multiply
    268,220x = 579,997 × 579,997
  4. Step 4: Simplify right side
    268,220x = 336,396,520,009
  5. Step 5: Solve for x
    x = 336,396,520,009/268,220
  6. Step 6: Final answer
    x = 1,254,181.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.