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Finding the Third Proportional to 264,564.56 and 397,441.69

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Solution

The third proportional to 264,564.56 and 397,441.69 is: 597,056.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,564.56 : 397,441.69 = 397,441.69 : x
  2. Step 2: Convert to fraction form
    264,564.56/397,441.69 = 397,441.69/x
  3. Step 3: Cross multiply
    264,564.56x = 397,441.69 × 397,441.69
  4. Step 4: Simplify right side
    264,564.56x = 157,959,894,962.85
  5. Step 5: Solve for x
    x = 157,959,894,962.85/264,564.56
  6. Step 6: Final answer
    x = 597,056.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.