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Finding the Third Proportional to 430,995.38 and 649,773

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Solution

The third proportional to 430,995.38 and 649,773 is: 979,604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,995.38 : 649,773 = 649,773 : x
  2. Step 2: Convert to fraction form
    430,995.38/649,773 = 649,773/x
  3. Step 3: Cross multiply
    430,995.38x = 649,773 × 649,773
  4. Step 4: Simplify right side
    430,995.38x = 422,204,951,529
  5. Step 5: Solve for x
    x = 422,204,951,529/430,995.38
  6. Step 6: Final answer
    x = 979,604.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.