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Finding the Third Proportional to 266,460.75 and 409,573.50

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Solution

The third proportional to 266,460.75 and 409,573.50 is: 629,550.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,460.75 : 409,573.50 = 409,573.50 : x
  2. Step 2: Convert to fraction form
    266,460.75/409,573.50 = 409,573.50/x
  3. Step 3: Cross multiply
    266,460.75x = 409,573.50 × 409,573.50
  4. Step 4: Simplify right side
    266,460.75x = 167,750,451,902.25
  5. Step 5: Solve for x
    x = 167,750,451,902.25/266,460.75
  6. Step 6: Final answer
    x = 629,550.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.