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Finding the Third Proportional to 231,963 and 488,820

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Solution

The third proportional to 231,963 and 488,820 is: 1,030,099.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,963 : 488,820 = 488,820 : x
  2. Step 2: Convert to fraction form
    231,963/488,820 = 488,820/x
  3. Step 3: Cross multiply
    231,963x = 488,820 × 488,820
  4. Step 4: Simplify right side
    231,963x = 238,944,992,400
  5. Step 5: Solve for x
    x = 238,944,992,400/231,963
  6. Step 6: Final answer
    x = 1,030,099.60

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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.