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Finding the Third Proportional to 268,572 and 363,456

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Solution

The third proportional to 268,572 and 363,456 is: 491,861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,572 : 363,456 = 363,456 : x
  2. Step 2: Convert to fraction form
    268,572/363,456 = 363,456/x
  3. Step 3: Cross multiply
    268,572x = 363,456 × 363,456
  4. Step 4: Simplify right side
    268,572x = 132,100,263,936
  5. Step 5: Solve for x
    x = 132,100,263,936/268,572
  6. Step 6: Final answer
    x = 491,861.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.