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Finding the Third Proportional to 256,327.03 and 560,980.69

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Solution

The third proportional to 256,327.03 and 560,980.69 is: 1,227,725.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,327.03 : 560,980.69 = 560,980.69 : x
  2. Step 2: Convert to fraction form
    256,327.03/560,980.69 = 560,980.69/x
  3. Step 3: Cross multiply
    256,327.03x = 560,980.69 × 560,980.69
  4. Step 4: Simplify right side
    256,327.03x = 314,699,331,747.97
  5. Step 5: Solve for x
    x = 314,699,331,747.97/256,327.03
  6. Step 6: Final answer
    x = 1,227,725.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.