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Finding the Third Proportional to 396,632.95 and 856,381.36

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Solution

The third proportional to 396,632.95 and 856,381.36 is: 1,849,037.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,632.95 : 856,381.36 = 856,381.36 : x
  2. Step 2: Convert to fraction form
    396,632.95/856,381.36 = 856,381.36/x
  3. Step 3: Cross multiply
    396,632.95x = 856,381.36 × 856,381.36
  4. Step 4: Simplify right side
    396,632.95x = 733,389,032,684.97
  5. Step 5: Solve for x
    x = 733,389,032,684.97/396,632.95
  6. Step 6: Final answer
    x = 1,849,037.07

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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.