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Finding the Third Proportional to 313,571.25 and 462,975.75

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Solution

The third proportional to 313,571.25 and 462,975.75 is: 683,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,571.25 : 462,975.75 = 462,975.75 : x
  2. Step 2: Convert to fraction form
    313,571.25/462,975.75 = 462,975.75/x
  3. Step 3: Cross multiply
    313,571.25x = 462,975.75 × 462,975.75
  4. Step 4: Simplify right side
    313,571.25x = 214,346,545,088.06
  5. Step 5: Solve for x
    x = 214,346,545,088.06/313,571.25
  6. Step 6: Final answer
    x = 683,565.68

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.