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Finding the Third Proportional to 494,312 and 739,764

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Solution

The third proportional to 494,312 and 739,764 is: 1,107,095.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,312 : 739,764 = 739,764 : x
  2. Step 2: Convert to fraction form
    494,312/739,764 = 739,764/x
  3. Step 3: Cross multiply
    494,312x = 739,764 × 739,764
  4. Step 4: Simplify right side
    494,312x = 547,250,775,696
  5. Step 5: Solve for x
    x = 547,250,775,696/494,312
  6. Step 6: Final answer
    x = 1,107,095.87

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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.