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Finding the Third Proportional to 283,610 and 444,963

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Solution

The third proportional to 283,610 and 444,963 is: 698,113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,610 : 444,963 = 444,963 : x
  2. Step 2: Convert to fraction form
    283,610/444,963 = 444,963/x
  3. Step 3: Cross multiply
    283,610x = 444,963 × 444,963
  4. Step 4: Simplify right side
    283,610x = 197,992,071,369
  5. Step 5: Solve for x
    x = 197,992,071,369/283,610
  6. Step 6: Final answer
    x = 698,113.86

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.