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Finding the Third Proportional to 264,421.97 and 402,832.83

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Solution

The third proportional to 264,421.97 and 402,832.83 is: 613,694.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,421.97 : 402,832.83 = 402,832.83 : x
  2. Step 2: Convert to fraction form
    264,421.97/402,832.83 = 402,832.83/x
  3. Step 3: Cross multiply
    264,421.97x = 402,832.83 × 402,832.83
  4. Step 4: Simplify right side
    264,421.97x = 162,274,287,415.19
  5. Step 5: Solve for x
    x = 162,274,287,415.19/264,421.97
  6. Step 6: Final answer
    x = 613,694.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.