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Finding the Third Proportional to 266,282.44 and 374,546.53

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Solution

The third proportional to 266,282.44 and 374,546.53 is: 526,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,282.44 : 374,546.53 = 374,546.53 : x
  2. Step 2: Convert to fraction form
    266,282.44/374,546.53 = 374,546.53/x
  3. Step 3: Cross multiply
    266,282.44x = 374,546.53 × 374,546.53
  4. Step 4: Simplify right side
    266,282.44x = 140,285,104,071.41
  5. Step 5: Solve for x
    x = 140,285,104,071.41/266,282.44
  6. Step 6: Final answer
    x = 526,828.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.