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Finding the Third Proportional to 263,173 and 399,683

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Solution

The third proportional to 263,173 and 399,683 is: 607,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,173 : 399,683 = 399,683 : x
  2. Step 2: Convert to fraction form
    263,173/399,683 = 399,683/x
  3. Step 3: Cross multiply
    263,173x = 399,683 × 399,683
  4. Step 4: Simplify right side
    263,173x = 159,746,500,489
  5. Step 5: Solve for x
    x = 159,746,500,489/263,173
  6. Step 6: Final answer
    x = 607,001.86

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.