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Finding the Third Proportional to 458,912.80 and 980,882.31

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Solution

The third proportional to 458,912.80 and 980,882.31 is: 2,096,542.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,912.80 : 980,882.31 = 980,882.31 : x
  2. Step 2: Convert to fraction form
    458,912.80/980,882.31 = 980,882.31/x
  3. Step 3: Cross multiply
    458,912.80x = 980,882.31 × 980,882.31
  4. Step 4: Simplify right side
    458,912.80x = 962,130,114,806.95
  5. Step 5: Solve for x
    x = 962,130,114,806.95/458,912.80
  6. Step 6: Final answer
    x = 2,096,542.35

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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.