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Finding the Third Proportional to 326,535.75 and 494,725.50

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Solution

The third proportional to 326,535.75 and 494,725.50 is: 749,545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,535.75 : 494,725.50 = 494,725.50 : x
  2. Step 2: Convert to fraction form
    326,535.75/494,725.50 = 494,725.50/x
  3. Step 3: Cross multiply
    326,535.75x = 494,725.50 × 494,725.50
  4. Step 4: Simplify right side
    326,535.75x = 244,753,320,350.25
  5. Step 5: Solve for x
    x = 244,753,320,350.25/326,535.75
  6. Step 6: Final answer
    x = 749,545.25

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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.