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Finding the Third Proportional to 466,051.50 and 998,469

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Solution

The third proportional to 466,051.50 and 998,469 is: 2,139,120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,051.50 : 998,469 = 998,469 : x
  2. Step 2: Convert to fraction form
    466,051.50/998,469 = 998,469/x
  3. Step 3: Cross multiply
    466,051.50x = 998,469 × 998,469
  4. Step 4: Simplify right side
    466,051.50x = 996,940,343,961
  5. Step 5: Solve for x
    x = 996,940,343,961/466,051.50
  6. Step 6: Final answer
    x = 2,139,120.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.