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Finding the Third Proportional to 322,879.50 and 704,770.50

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Solution

The third proportional to 322,879.50 and 704,770.50 is: 1,538,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,879.50 : 704,770.50 = 704,770.50 : x
  2. Step 2: Convert to fraction form
    322,879.50/704,770.50 = 704,770.50/x
  3. Step 3: Cross multiply
    322,879.50x = 704,770.50 × 704,770.50
  4. Step 4: Simplify right side
    322,879.50x = 496,701,457,670.25
  5. Step 5: Solve for x
    x = 496,701,457,670.25/322,879.50
  6. Step 6: Final answer
    x = 1,538,349.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.