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Finding the Third Proportional to 293,673 and 641,271

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Solution

The third proportional to 293,673 and 641,271 is: 1,400,293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,673 : 641,271 = 641,271 : x
  2. Step 2: Convert to fraction form
    293,673/641,271 = 641,271/x
  3. Step 3: Cross multiply
    293,673x = 641,271 × 641,271
  4. Step 4: Simplify right side
    293,673x = 411,228,495,441
  5. Step 5: Solve for x
    x = 411,228,495,441/293,673
  6. Step 6: Final answer
    x = 1,400,293.85

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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.