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Finding the Third Proportional to 493,206 and 739,810

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Solution

The third proportional to 493,206 and 739,810 is: 1,109,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,206 : 739,810 = 739,810 : x
  2. Step 2: Convert to fraction form
    493,206/739,810 = 739,810/x
  3. Step 3: Cross multiply
    493,206x = 739,810 × 739,810
  4. Step 4: Simplify right side
    493,206x = 547,318,836,100
  5. Step 5: Solve for x
    x = 547,318,836,100/493,206
  6. Step 6: Final answer
    x = 1,109,716.50

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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.