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Finding the Third Proportional to 493,202 and 739,804

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Solution

The third proportional to 493,202 and 739,804 is: 1,109,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,202 : 739,804 = 739,804 : x
  2. Step 2: Convert to fraction form
    493,202/739,804 = 739,804/x
  3. Step 3: Cross multiply
    493,202x = 739,804 × 739,804
  4. Step 4: Simplify right side
    493,202x = 547,309,958,416
  5. Step 5: Solve for x
    x = 547,309,958,416/493,202
  6. Step 6: Final answer
    x = 1,109,707.50

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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.