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Finding the Third Proportional to 461,349 and 998,491.50

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Solution

The third proportional to 461,349 and 998,491.50 is: 2,161,021.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,349 : 998,491.50 = 998,491.50 : x
  2. Step 2: Convert to fraction form
    461,349/998,491.50 = 998,491.50/x
  3. Step 3: Cross multiply
    461,349x = 998,491.50 × 998,491.50
  4. Step 4: Simplify right side
    461,349x = 996,985,275,572.25
  5. Step 5: Solve for x
    x = 996,985,275,572.25/461,349
  6. Step 6: Final answer
    x = 2,161,021.86

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