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Finding the Third Proportional to 323,606.25 and 704,027.25

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Solution

The third proportional to 323,606.25 and 704,027.25 is: 1,531,658.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,606.25 : 704,027.25 = 704,027.25 : x
  2. Step 2: Convert to fraction form
    323,606.25/704,027.25 = 704,027.25/x
  3. Step 3: Cross multiply
    323,606.25x = 704,027.25 × 704,027.25
  4. Step 4: Simplify right side
    323,606.25x = 495,654,368,742.56
  5. Step 5: Solve for x
    x = 495,654,368,742.56/323,606.25
  6. Step 6: Final answer
    x = 1,531,658.83

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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.