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Finding the Third Proportional to 396,651.94 and 856,423.13

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Solution

The third proportional to 396,651.94 and 856,423.13 is: 1,849,128.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,651.94 : 856,423.13 = 856,423.13 : x
  2. Step 2: Convert to fraction form
    396,651.94/856,423.13 = 856,423.13/x
  3. Step 3: Cross multiply
    396,651.94x = 856,423.13 × 856,423.13
  4. Step 4: Simplify right side
    396,651.94x = 733,460,569,034.77
  5. Step 5: Solve for x
    x = 733,460,569,034.77/396,651.94
  6. Step 6: Final answer
    x = 1,849,128.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.