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Finding the Third Proportional to 259,482 and 558,960

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Solution

The third proportional to 259,482 and 558,960 is: 1,204,076.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,482 : 558,960 = 558,960 : x
  2. Step 2: Convert to fraction form
    259,482/558,960 = 558,960/x
  3. Step 3: Cross multiply
    259,482x = 558,960 × 558,960
  4. Step 4: Simplify right side
    259,482x = 312,436,281,600
  5. Step 5: Solve for x
    x = 312,436,281,600/259,482
  6. Step 6: Final answer
    x = 1,204,076.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.