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Finding the Third Proportional to 486,357.75 and 776,965.50

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Solution

The third proportional to 486,357.75 and 776,965.50 is: 1,241,216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,357.75 : 776,965.50 = 776,965.50 : x
  2. Step 2: Convert to fraction form
    486,357.75/776,965.50 = 776,965.50/x
  3. Step 3: Cross multiply
    486,357.75x = 776,965.50 × 776,965.50
  4. Step 4: Simplify right side
    486,357.75x = 603,675,388,190.25
  5. Step 5: Solve for x
    x = 603,675,388,190.25/486,357.75
  6. Step 6: Final answer
    x = 1,241,216.75

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.