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Finding the Third Proportional to 323,644 and 704,096

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Solution

The third proportional to 323,644 and 704,096 is: 1,531,779.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,644 : 704,096 = 704,096 : x
  2. Step 2: Convert to fraction form
    323,644/704,096 = 704,096/x
  3. Step 3: Cross multiply
    323,644x = 704,096 × 704,096
  4. Step 4: Simplify right side
    323,644x = 495,751,177,216
  5. Step 5: Solve for x
    x = 495,751,177,216/323,644
  6. Step 6: Final answer
    x = 1,531,779.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.