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Finding the Third Proportional to 316,296 and 691,728

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Solution

The third proportional to 316,296 and 691,728 is: 1,512,784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,296 : 691,728 = 691,728 : x
  2. Step 2: Convert to fraction form
    316,296/691,728 = 691,728/x
  3. Step 3: Cross multiply
    316,296x = 691,728 × 691,728
  4. Step 4: Simplify right side
    316,296x = 478,487,625,984
  5. Step 5: Solve for x
    x = 478,487,625,984/316,296
  6. Step 6: Final answer
    x = 1,512,784.31

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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.