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Finding the Third Proportional to 240,243 and 376,863

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Solution

The third proportional to 240,243 and 376,863 is: 591,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,243 : 376,863 = 376,863 : x
  2. Step 2: Convert to fraction form
    240,243/376,863 = 376,863/x
  3. Step 3: Cross multiply
    240,243x = 376,863 × 376,863
  4. Step 4: Simplify right side
    240,243x = 142,025,720,769
  5. Step 5: Solve for x
    x = 142,025,720,769/240,243
  6. Step 6: Final answer
    x = 591,175.27

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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.