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Finding the Third Proportional to 465,765.75 and 948,660

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Solution

The third proportional to 465,765.75 and 948,660 is: 1,932,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,765.75 : 948,660 = 948,660 : x
  2. Step 2: Convert to fraction form
    465,765.75/948,660 = 948,660/x
  3. Step 3: Cross multiply
    465,765.75x = 948,660 × 948,660
  4. Step 4: Simplify right side
    465,765.75x = 899,955,795,600
  5. Step 5: Solve for x
    x = 899,955,795,600/465,765.75
  6. Step 6: Final answer
    x = 1,932,206.90

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.