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Finding the Third Proportional to 226,442 and 462,716

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Solution

The third proportional to 226,442 and 462,716 is: 945,522.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,442 : 462,716 = 462,716 : x
  2. Step 2: Convert to fraction form
    226,442/462,716 = 462,716/x
  3. Step 3: Cross multiply
    226,442x = 462,716 × 462,716
  4. Step 4: Simplify right side
    226,442x = 214,106,096,656
  5. Step 5: Solve for x
    x = 214,106,096,656/226,442
  6. Step 6: Final answer
    x = 945,522.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.