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Finding the Third Proportional to 493,234 and 739,918

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Solution

The third proportional to 493,234 and 739,918 is: 1,109,977.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,234 : 739,918 = 739,918 : x
  2. Step 2: Convert to fraction form
    493,234/739,918 = 739,918/x
  3. Step 3: Cross multiply
    493,234x = 739,918 × 739,918
  4. Step 4: Simplify right side
    493,234x = 547,478,646,724
  5. Step 5: Solve for x
    x = 547,478,646,724/493,234
  6. Step 6: Final answer
    x = 1,109,977.51

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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.