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Finding the Third Proportional to 231,838 and 488,583

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Solution

The third proportional to 231,838 and 488,583 is: 1,029,655.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,838 : 488,583 = 488,583 : x
  2. Step 2: Convert to fraction form
    231,838/488,583 = 488,583/x
  3. Step 3: Cross multiply
    231,838x = 488,583 × 488,583
  4. Step 4: Simplify right side
    231,838x = 238,713,347,889
  5. Step 5: Solve for x
    x = 238,713,347,889/231,838
  6. Step 6: Final answer
    x = 1,029,655.83

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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.