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Finding the Third Proportional to 399,984.75 and 743,226.75

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Solution

The third proportional to 399,984.75 and 743,226.75 is: 1,381,017.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,984.75 : 743,226.75 = 743,226.75 : x
  2. Step 2: Convert to fraction form
    399,984.75/743,226.75 = 743,226.75/x
  3. Step 3: Cross multiply
    399,984.75x = 743,226.75 × 743,226.75
  4. Step 4: Simplify right side
    399,984.75x = 552,386,001,915.56
  5. Step 5: Solve for x
    x = 552,386,001,915.56/399,984.75
  6. Step 6: Final answer
    x = 1,381,017.66

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.