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Finding the Third Proportional to 256,254 and 544,041

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Solution

The third proportional to 256,254 and 544,041 is: 1,155,028.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,254 : 544,041 = 544,041 : x
  2. Step 2: Convert to fraction form
    256,254/544,041 = 544,041/x
  3. Step 3: Cross multiply
    256,254x = 544,041 × 544,041
  4. Step 4: Simplify right side
    256,254x = 295,980,609,681
  5. Step 5: Solve for x
    x = 295,980,609,681/256,254
  6. Step 6: Final answer
    x = 1,155,028.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.