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Finding the Third Proportional to 621,433.50 and 1,361,436

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Solution

The third proportional to 621,433.50 and 1,361,436 is: 2,982,632.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,433.50 : 1,361,436 = 1,361,436 : x
  2. Step 2: Convert to fraction form
    621,433.50/1,361,436 = 1,361,436/x
  3. Step 3: Cross multiply
    621,433.50x = 1,361,436 × 1,361,436
  4. Step 4: Simplify right side
    621,433.50x = 1,853,507,982,096
  5. Step 5: Solve for x
    x = 1,853,507,982,096/621,433.50
  6. Step 6: Final answer
    x = 2,982,632.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.