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Finding the Third Proportional to 256,881.56 and 551,638.88

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Solution

The third proportional to 256,881.56 and 551,638.88 is: 1,184,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,881.56 : 551,638.88 = 551,638.88 : x
  2. Step 2: Convert to fraction form
    256,881.56/551,638.88 = 551,638.88/x
  3. Step 3: Cross multiply
    256,881.56x = 551,638.88 × 551,638.88
  4. Step 4: Simplify right side
    256,881.56x = 304,305,448,411.27
  5. Step 5: Solve for x
    x = 304,305,448,411.27/256,881.56
  6. Step 6: Final answer
    x = 1,184,613.82

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