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Finding the Third Proportional to 279,963.38 and 430,902.75

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Solution

The third proportional to 279,963.38 and 430,902.75 is: 663,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,963.38 : 430,902.75 = 430,902.75 : x
  2. Step 2: Convert to fraction form
    279,963.38/430,902.75 = 430,902.75/x
  3. Step 3: Cross multiply
    279,963.38x = 430,902.75 × 430,902.75
  4. Step 4: Simplify right side
    279,963.38x = 185,677,179,957.56
  5. Step 5: Solve for x
    x = 185,677,179,957.56/279,963.38
  6. Step 6: Final answer
    x = 663,219.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.