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Finding the Third Proportional to 434,674.50 and 941,700

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Solution

The third proportional to 434,674.50 and 941,700 is: 2,040,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,674.50 : 941,700 = 941,700 : x
  2. Step 2: Convert to fraction form
    434,674.50/941,700 = 941,700/x
  3. Step 3: Cross multiply
    434,674.50x = 941,700 × 941,700
  4. Step 4: Simplify right side
    434,674.50x = 886,798,890,000
  5. Step 5: Solve for x
    x = 886,798,890,000/434,674.50
  6. Step 6: Final answer
    x = 2,040,144.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.