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Finding the Third Proportional to 460,289.25 and 984,541.50

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Solution

The third proportional to 460,289.25 and 984,541.50 is: 2,105,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,289.25 : 984,541.50 = 984,541.50 : x
  2. Step 2: Convert to fraction form
    460,289.25/984,541.50 = 984,541.50/x
  3. Step 3: Cross multiply
    460,289.25x = 984,541.50 × 984,541.50
  4. Step 4: Simplify right side
    460,289.25x = 969,321,965,222.25
  5. Step 5: Solve for x
    x = 969,321,965,222.25/460,289.25
  6. Step 6: Final answer
    x = 2,105,897.47

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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.