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Finding the Third Proportional to 315,256 and 691,760

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Solution

The third proportional to 315,256 and 691,760 is: 1,517,915.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,256 : 691,760 = 691,760 : x
  2. Step 2: Convert to fraction form
    315,256/691,760 = 691,760/x
  3. Step 3: Cross multiply
    315,256x = 691,760 × 691,760
  4. Step 4: Simplify right side
    315,256x = 478,531,897,600
  5. Step 5: Solve for x
    x = 478,531,897,600/315,256
  6. Step 6: Final answer
    x = 1,517,915.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.