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Finding the Third Proportional to 264,817.50 and 405,174.75

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Solution

The third proportional to 264,817.50 and 405,174.75 is: 619,923.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,817.50 : 405,174.75 = 405,174.75 : x
  2. Step 2: Convert to fraction form
    264,817.50/405,174.75 = 405,174.75/x
  3. Step 3: Cross multiply
    264,817.50x = 405,174.75 × 405,174.75
  4. Step 4: Simplify right side
    264,817.50x = 164,166,578,037.56
  5. Step 5: Solve for x
    x = 164,166,578,037.56/264,817.50
  6. Step 6: Final answer
    x = 619,923.45

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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.