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Finding the Third Proportional to 256,266.56 and 560,799.56

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Solution

The third proportional to 256,266.56 and 560,799.56 is: 1,227,222.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,266.56 : 560,799.56 = 560,799.56 : x
  2. Step 2: Convert to fraction form
    256,266.56/560,799.56 = 560,799.56/x
  3. Step 3: Cross multiply
    256,266.56x = 560,799.56 × 560,799.56
  4. Step 4: Simplify right side
    256,266.56x = 314,496,149,300.19
  5. Step 5: Solve for x
    x = 314,496,149,300.19/256,266.56
  6. Step 6: Final answer
    x = 1,227,222.73

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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.