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Finding the Third Proportional to 493,810 and 721,898

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Solution

The third proportional to 493,810 and 721,898 is: 1,055,338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,810 : 721,898 = 721,898 : x
  2. Step 2: Convert to fraction form
    493,810/721,898 = 721,898/x
  3. Step 3: Cross multiply
    493,810x = 721,898 × 721,898
  4. Step 4: Simplify right side
    493,810x = 521,136,722,404
  5. Step 5: Solve for x
    x = 521,136,722,404/493,810
  6. Step 6: Final answer
    x = 1,055,338.54

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.