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Finding the Third Proportional to 188,724 and 412,452

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Solution

The third proportional to 188,724 and 412,452 is: 901,404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,724 : 412,452 = 412,452 : x
  2. Step 2: Convert to fraction form
    188,724/412,452 = 412,452/x
  3. Step 3: Cross multiply
    188,724x = 412,452 × 412,452
  4. Step 4: Simplify right side
    188,724x = 170,116,652,304
  5. Step 5: Solve for x
    x = 170,116,652,304/188,724
  6. Step 6: Final answer
    x = 901,404.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.