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Finding the Third Proportional to 355,832 and 773,872

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Solution

The third proportional to 355,832 and 773,872 is: 1,683,035.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,832 : 773,872 = 773,872 : x
  2. Step 2: Convert to fraction form
    355,832/773,872 = 773,872/x
  3. Step 3: Cross multiply
    355,832x = 773,872 × 773,872
  4. Step 4: Simplify right side
    355,832x = 598,877,872,384
  5. Step 5: Solve for x
    x = 598,877,872,384/355,832
  6. Step 6: Final answer
    x = 1,683,035.46

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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.