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Finding the Third Proportional to 386,739 and 832,722

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Solution

The third proportional to 386,739 and 832,722 is: 1,793,007.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,739 : 832,722 = 832,722 : x
  2. Step 2: Convert to fraction form
    386,739/832,722 = 832,722/x
  3. Step 3: Cross multiply
    386,739x = 832,722 × 832,722
  4. Step 4: Simplify right side
    386,739x = 693,425,929,284
  5. Step 5: Solve for x
    x = 693,425,929,284/386,739
  6. Step 6: Final answer
    x = 1,793,007.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.