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Finding the Third Proportional to 285,970 and 627,956

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Solution

The third proportional to 285,970 and 627,956 is: 1,378,916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,970 : 627,956 = 627,956 : x
  2. Step 2: Convert to fraction form
    285,970/627,956 = 627,956/x
  3. Step 3: Cross multiply
    285,970x = 627,956 × 627,956
  4. Step 4: Simplify right side
    285,970x = 394,328,737,936
  5. Step 5: Solve for x
    x = 394,328,737,936/285,970
  6. Step 6: Final answer
    x = 1,378,916.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.