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Finding the Third Proportional to 351,080 and 768,832

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Solution

The third proportional to 351,080 and 768,832 is: 1,683,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,080 : 768,832 = 768,832 : x
  2. Step 2: Convert to fraction form
    351,080/768,832 = 768,832/x
  3. Step 3: Cross multiply
    351,080x = 768,832 × 768,832
  4. Step 4: Simplify right side
    351,080x = 591,102,644,224
  5. Step 5: Solve for x
    x = 591,102,644,224/351,080
  6. Step 6: Final answer
    x = 1,683,669.38

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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.