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Finding the Third Proportional to 354,882.38 and 536,556.94

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Solution

The third proportional to 354,882.38 and 536,556.94 is: 811,235.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,882.38 : 536,556.94 = 536,556.94 : x
  2. Step 2: Convert to fraction form
    354,882.38/536,556.94 = 536,556.94/x
  3. Step 3: Cross multiply
    354,882.38x = 536,556.94 × 536,556.94
  4. Step 4: Simplify right side
    354,882.38x = 287,893,347,179.38
  5. Step 5: Solve for x
    x = 287,893,347,179.38/354,882.38
  6. Step 6: Final answer
    x = 811,235.97

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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.