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Finding the Third Proportional to 424,194.75 and 923,020.50

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Solution

The third proportional to 424,194.75 and 923,020.50 is: 2,008,433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,194.75 : 923,020.50 = 923,020.50 : x
  2. Step 2: Convert to fraction form
    424,194.75/923,020.50 = 923,020.50/x
  3. Step 3: Cross multiply
    424,194.75x = 923,020.50 × 923,020.50
  4. Step 4: Simplify right side
    424,194.75x = 851,966,843,420.25
  5. Step 5: Solve for x
    x = 851,966,843,420.25/424,194.75
  6. Step 6: Final answer
    x = 2,008,433.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.