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Finding the Third Proportional to 264,606.75 and 397,504.13

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Solution

The third proportional to 264,606.75 and 397,504.13 is: 597,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,606.75 : 397,504.13 = 397,504.13 : x
  2. Step 2: Convert to fraction form
    264,606.75/397,504.13 = 397,504.13/x
  3. Step 3: Cross multiply
    264,606.75x = 397,504.13 × 397,504.13
  4. Step 4: Simplify right side
    264,606.75x = 158,009,529,392.02
  5. Step 5: Solve for x
    x = 158,009,529,392.02/264,606.75
  6. Step 6: Final answer
    x = 597,148.52

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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.