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Finding the Third Proportional to 483,786.50 and 676,724.50

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Solution

The third proportional to 483,786.50 and 676,724.50 is: 946,607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,786.50 : 676,724.50 = 676,724.50 : x
  2. Step 2: Convert to fraction form
    483,786.50/676,724.50 = 676,724.50/x
  3. Step 3: Cross multiply
    483,786.50x = 676,724.50 × 676,724.50
  4. Step 4: Simplify right side
    483,786.50x = 457,956,048,900.25
  5. Step 5: Solve for x
    x = 457,956,048,900.25/483,786.50
  6. Step 6: Final answer
    x = 946,607.75

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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.