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Finding the Third Proportional to 382,545.75 and 534,816.75

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Solution

The third proportional to 382,545.75 and 534,816.75 is: 747,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,545.75 : 534,816.75 = 534,816.75 : x
  2. Step 2: Convert to fraction form
    382,545.75/534,816.75 = 534,816.75/x
  3. Step 3: Cross multiply
    382,545.75x = 534,816.75 × 534,816.75
  4. Step 4: Simplify right side
    382,545.75x = 286,028,956,080.56
  5. Step 5: Solve for x
    x = 286,028,956,080.56/382,545.75
  6. Step 6: Final answer
    x = 747,698.69

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.