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Finding the Third Proportional to 256,882 and 551,639.75

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Solution

The third proportional to 256,882 and 551,639.75 is: 1,184,615.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,882 : 551,639.75 = 551,639.75 : x
  2. Step 2: Convert to fraction form
    256,882/551,639.75 = 551,639.75/x
  3. Step 3: Cross multiply
    256,882x = 551,639.75 × 551,639.75
  4. Step 4: Simplify right side
    256,882x = 304,306,413,780.06
  5. Step 5: Solve for x
    x = 304,306,413,780.06/256,882
  6. Step 6: Final answer
    x = 1,184,615.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.