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Finding the Third Proportional to 493,204 and 739,807

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Solution

The third proportional to 493,204 and 739,807 is: 1,109,712.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,204 : 739,807 = 739,807 : x
  2. Step 2: Convert to fraction form
    493,204/739,807 = 739,807/x
  3. Step 3: Cross multiply
    493,204x = 739,807 × 739,807
  4. Step 4: Simplify right side
    493,204x = 547,314,397,249
  5. Step 5: Solve for x
    x = 547,314,397,249/493,204
  6. Step 6: Final answer
    x = 1,109,712.00

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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.