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Finding the Third Proportional to 493,233.75 and 739,857.38

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Solution

The third proportional to 493,233.75 and 739,857.38 is: 1,109,796.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,233.75 : 739,857.38 = 739,857.38 : x
  2. Step 2: Convert to fraction form
    493,233.75/739,857.38 = 739,857.38/x
  3. Step 3: Cross multiply
    493,233.75x = 739,857.38 × 739,857.38
  4. Step 4: Simplify right side
    493,233.75x = 547,388,935,341.89
  5. Step 5: Solve for x
    x = 547,388,935,341.89/493,233.75
  6. Step 6: Final answer
    x = 1,109,796.19

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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.