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Finding the Third Proportional to 353,108.25 and 497,472.75

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Solution

The third proportional to 353,108.25 and 497,472.75 is: 700,859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,108.25 : 497,472.75 = 497,472.75 : x
  2. Step 2: Convert to fraction form
    353,108.25/497,472.75 = 497,472.75/x
  3. Step 3: Cross multiply
    353,108.25x = 497,472.75 × 497,472.75
  4. Step 4: Simplify right side
    353,108.25x = 247,479,136,992.56
  5. Step 5: Solve for x
    x = 247,479,136,992.56/353,108.25
  6. Step 6: Final answer
    x = 700,859.12

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.