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Finding the Third Proportional to 225,960 and 486,942

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Solution

The third proportional to 225,960 and 486,942 is: 1,049,356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,960 : 486,942 = 486,942 : x
  2. Step 2: Convert to fraction form
    225,960/486,942 = 486,942/x
  3. Step 3: Cross multiply
    225,960x = 486,942 × 486,942
  4. Step 4: Simplify right side
    225,960x = 237,112,511,364
  5. Step 5: Solve for x
    x = 237,112,511,364/225,960
  6. Step 6: Final answer
    x = 1,049,356.13

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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.