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Finding the Third Proportional to 332,863 and 540,793

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Solution

The third proportional to 332,863 and 540,793 is: 878,610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,863 : 540,793 = 540,793 : x
  2. Step 2: Convert to fraction form
    332,863/540,793 = 540,793/x
  3. Step 3: Cross multiply
    332,863x = 540,793 × 540,793
  4. Step 4: Simplify right side
    332,863x = 292,457,068,849
  5. Step 5: Solve for x
    x = 292,457,068,849/332,863
  6. Step 6: Final answer
    x = 878,610.93

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.