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Finding the Third Proportional to 460,235.25 and 984,433.50

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Solution

The third proportional to 460,235.25 and 984,433.50 is: 2,105,682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,235.25 : 984,433.50 = 984,433.50 : x
  2. Step 2: Convert to fraction form
    460,235.25/984,433.50 = 984,433.50/x
  3. Step 3: Cross multiply
    460,235.25x = 984,433.50 × 984,433.50
  4. Step 4: Simplify right side
    460,235.25x = 969,109,315,922.25
  5. Step 5: Solve for x
    x = 969,109,315,922.25/460,235.25
  6. Step 6: Final answer
    x = 2,105,682.51

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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.