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Finding the Third Proportional to 264,493.69 and 402,936.19

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Solution

The third proportional to 264,493.69 and 402,936.19 is: 613,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,493.69 : 402,936.19 = 402,936.19 : x
  2. Step 2: Convert to fraction form
    264,493.69/402,936.19 = 402,936.19/x
  3. Step 3: Cross multiply
    264,493.69x = 402,936.19 × 402,936.19
  4. Step 4: Simplify right side
    264,493.69x = 162,357,571,197.04
  5. Step 5: Solve for x
    x = 162,357,571,197.04/264,493.69
  6. Step 6: Final answer
    x = 613,842.90

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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.