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Finding the Third Proportional to 256,302.75 and 598,839

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Solution

The third proportional to 256,302.75 and 598,839 is: 1,399,158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,302.75 : 598,839 = 598,839 : x
  2. Step 2: Convert to fraction form
    256,302.75/598,839 = 598,839/x
  3. Step 3: Cross multiply
    256,302.75x = 598,839 × 598,839
  4. Step 4: Simplify right side
    256,302.75x = 358,608,147,921
  5. Step 5: Solve for x
    x = 358,608,147,921/256,302.75
  6. Step 6: Final answer
    x = 1,399,158.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.