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Finding the Third Proportional to 268,200 and 575,343

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Solution

The third proportional to 268,200 and 575,343 is: 1,234,226.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,200 : 575,343 = 575,343 : x
  2. Step 2: Convert to fraction form
    268,200/575,343 = 575,343/x
  3. Step 3: Cross multiply
    268,200x = 575,343 × 575,343
  4. Step 4: Simplify right side
    268,200x = 331,019,567,649
  5. Step 5: Solve for x
    x = 331,019,567,649/268,200
  6. Step 6: Final answer
    x = 1,234,226.58

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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.