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Finding the Third Proportional to 256,260 and 544,054

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Solution

The third proportional to 256,260 and 544,054 is: 1,155,056.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,260 : 544,054 = 544,054 : x
  2. Step 2: Convert to fraction form
    256,260/544,054 = 544,054/x
  3. Step 3: Cross multiply
    256,260x = 544,054 × 544,054
  4. Step 4: Simplify right side
    256,260x = 295,994,754,916
  5. Step 5: Solve for x
    x = 295,994,754,916/256,260
  6. Step 6: Final answer
    x = 1,155,056.41

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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.