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Finding the Third Proportional to 231,856.75 and 488,621

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Solution

The third proportional to 231,856.75 and 488,621 is: 1,029,732.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,856.75 : 488,621 = 488,621 : x
  2. Step 2: Convert to fraction form
    231,856.75/488,621 = 488,621/x
  3. Step 3: Cross multiply
    231,856.75x = 488,621 × 488,621
  4. Step 4: Simplify right side
    231,856.75x = 238,750,481,641
  5. Step 5: Solve for x
    x = 238,750,481,641/231,856.75
  6. Step 6: Final answer
    x = 1,029,732.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.