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Finding the Third Proportional to 315,936 and 675,264

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Solution

The third proportional to 315,936 and 675,264 is: 1,443,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,936 : 675,264 = 675,264 : x
  2. Step 2: Convert to fraction form
    315,936/675,264 = 675,264/x
  3. Step 3: Cross multiply
    315,936x = 675,264 × 675,264
  4. Step 4: Simplify right side
    315,936x = 455,981,469,696
  5. Step 5: Solve for x
    x = 455,981,469,696/315,936
  6. Step 6: Final answer
    x = 1,443,271.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.