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Finding the Third Proportional to 285,192 and 619,653

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Solution

The third proportional to 285,192 and 619,653 is: 1,346,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,192 : 619,653 = 619,653 : x
  2. Step 2: Convert to fraction form
    285,192/619,653 = 619,653/x
  3. Step 3: Cross multiply
    285,192x = 619,653 × 619,653
  4. Step 4: Simplify right side
    285,192x = 383,969,840,409
  5. Step 5: Solve for x
    x = 383,969,840,409/285,192
  6. Step 6: Final answer
    x = 1,346,355.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.