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Finding the Third Proportional to 347,112 and 721,872

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Solution

The third proportional to 347,112 and 721,872 is: 1,501,242.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,112 : 721,872 = 721,872 : x
  2. Step 2: Convert to fraction form
    347,112/721,872 = 721,872/x
  3. Step 3: Cross multiply
    347,112x = 721,872 × 721,872
  4. Step 4: Simplify right side
    347,112x = 521,099,184,384
  5. Step 5: Solve for x
    x = 521,099,184,384/347,112
  6. Step 6: Final answer
    x = 1,501,242.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.