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Finding the Third Proportional to 461,342 and 998,500

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Solution

The third proportional to 461,342 and 998,500 is: 2,161,091.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,342 : 998,500 = 998,500 : x
  2. Step 2: Convert to fraction form
    461,342/998,500 = 998,500/x
  3. Step 3: Cross multiply
    461,342x = 998,500 × 998,500
  4. Step 4: Simplify right side
    461,342x = 997,002,250,000
  5. Step 5: Solve for x
    x = 997,002,250,000/461,342
  6. Step 6: Final answer
    x = 2,161,091.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.