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Finding the Third Proportional to 454,969.50 and 984,555

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Solution

The third proportional to 454,969.50 and 984,555 is: 2,130,579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,969.50 : 984,555 = 984,555 : x
  2. Step 2: Convert to fraction form
    454,969.50/984,555 = 984,555/x
  3. Step 3: Cross multiply
    454,969.50x = 984,555 × 984,555
  4. Step 4: Simplify right side
    454,969.50x = 969,348,548,025
  5. Step 5: Solve for x
    x = 969,348,548,025/454,969.50
  6. Step 6: Final answer
    x = 2,130,579.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.