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Finding the Third Proportional to 294,613 and 641,727

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Solution

The third proportional to 294,613 and 641,727 is: 1,397,811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,613 : 641,727 = 641,727 : x
  2. Step 2: Convert to fraction form
    294,613/641,727 = 641,727/x
  3. Step 3: Cross multiply
    294,613x = 641,727 × 641,727
  4. Step 4: Simplify right side
    294,613x = 411,813,542,529
  5. Step 5: Solve for x
    x = 411,813,542,529/294,613
  6. Step 6: Final answer
    x = 1,397,811.85

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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.