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Finding the Third Proportional to 231,820 and 488,546

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Solution

The third proportional to 231,820 and 488,546 is: 1,029,579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,820 : 488,546 = 488,546 : x
  2. Step 2: Convert to fraction form
    231,820/488,546 = 488,546/x
  3. Step 3: Cross multiply
    231,820x = 488,546 × 488,546
  4. Step 4: Simplify right side
    231,820x = 238,677,194,116
  5. Step 5: Solve for x
    x = 238,677,194,116/231,820
  6. Step 6: Final answer
    x = 1,029,579.82

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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.