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Finding the Third Proportional to 494,295 and 739,740

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Solution

The third proportional to 494,295 and 739,740 is: 1,107,062.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,295 : 739,740 = 739,740 : x
  2. Step 2: Convert to fraction form
    494,295/739,740 = 739,740/x
  3. Step 3: Cross multiply
    494,295x = 739,740 × 739,740
  4. Step 4: Simplify right side
    494,295x = 547,215,267,600
  5. Step 5: Solve for x
    x = 547,215,267,600/494,295
  6. Step 6: Final answer
    x = 1,107,062.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.