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Finding the Third Proportional to 311,134 and 643,004

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Solution

The third proportional to 311,134 and 643,004 is: 1,328,861.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,134 : 643,004 = 643,004 : x
  2. Step 2: Convert to fraction form
    311,134/643,004 = 643,004/x
  3. Step 3: Cross multiply
    311,134x = 643,004 × 643,004
  4. Step 4: Simplify right side
    311,134x = 413,454,144,016
  5. Step 5: Solve for x
    x = 413,454,144,016/311,134
  6. Step 6: Final answer
    x = 1,328,861.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.