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Finding the Third Proportional to 420,966 and 641,955

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Solution

The third proportional to 420,966 and 641,955 is: 978,953.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,966 : 641,955 = 641,955 : x
  2. Step 2: Convert to fraction form
    420,966/641,955 = 641,955/x
  3. Step 3: Cross multiply
    420,966x = 641,955 × 641,955
  4. Step 4: Simplify right side
    420,966x = 412,106,222,025
  5. Step 5: Solve for x
    x = 412,106,222,025/420,966
  6. Step 6: Final answer
    x = 978,953.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.