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Finding the Third Proportional to 266,379.75 and 407,497.25

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Solution

The third proportional to 266,379.75 and 407,497.25 is: 623,373.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,379.75 : 407,497.25 = 407,497.25 : x
  2. Step 2: Convert to fraction form
    266,379.75/407,497.25 = 407,497.25/x
  3. Step 3: Cross multiply
    266,379.75x = 407,497.25 × 407,497.25
  4. Step 4: Simplify right side
    266,379.75x = 166,054,008,757.56
  5. Step 5: Solve for x
    x = 166,054,008,757.56/266,379.75
  6. Step 6: Final answer
    x = 623,373.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.