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Finding the Third Proportional to 352,676.25 and 514,230.75

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Solution

The third proportional to 352,676.25 and 514,230.75 is: 749,790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,676.25 : 514,230.75 = 514,230.75 : x
  2. Step 2: Convert to fraction form
    352,676.25/514,230.75 = 514,230.75/x
  3. Step 3: Cross multiply
    352,676.25x = 514,230.75 × 514,230.75
  4. Step 4: Simplify right side
    352,676.25x = 264,433,264,245.56
  5. Step 5: Solve for x
    x = 264,433,264,245.56/352,676.25
  6. Step 6: Final answer
    x = 749,790.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.