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Finding the Third Proportional to 355,872 and 773,696

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Solution

The third proportional to 355,872 and 773,696 is: 1,682,080.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,872 : 773,696 = 773,696 : x
  2. Step 2: Convert to fraction form
    355,872/773,696 = 773,696/x
  3. Step 3: Cross multiply
    355,872x = 773,696 × 773,696
  4. Step 4: Simplify right side
    355,872x = 598,605,500,416
  5. Step 5: Solve for x
    x = 598,605,500,416/355,872
  6. Step 6: Final answer
    x = 1,682,080.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.