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Finding the Third Proportional to 256,692 and 382,918

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Solution

The third proportional to 256,692 and 382,918 is: 571,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,692 : 382,918 = 382,918 : x
  2. Step 2: Convert to fraction form
    256,692/382,918 = 382,918/x
  3. Step 3: Cross multiply
    256,692x = 382,918 × 382,918
  4. Step 4: Simplify right side
    256,692x = 146,626,194,724
  5. Step 5: Solve for x
    x = 146,626,194,724/256,692
  6. Step 6: Final answer
    x = 571,214.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.