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Finding the Third Proportional to 460,246.50 and 984,462.75

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Solution

The third proportional to 460,246.50 and 984,462.75 is: 2,105,756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,246.50 : 984,462.75 = 984,462.75 : x
  2. Step 2: Convert to fraction form
    460,246.50/984,462.75 = 984,462.75/x
  3. Step 3: Cross multiply
    460,246.50x = 984,462.75 × 984,462.75
  4. Step 4: Simplify right side
    460,246.50x = 969,166,906,137.56
  5. Step 5: Solve for x
    x = 969,166,906,137.56/460,246.50
  6. Step 6: Final answer
    x = 2,105,756.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.