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Finding the Third Proportional to 432,712 and 950,672

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Solution

The third proportional to 432,712 and 950,672 is: 2,088,634.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,712 : 950,672 = 950,672 : x
  2. Step 2: Convert to fraction form
    432,712/950,672 = 950,672/x
  3. Step 3: Cross multiply
    432,712x = 950,672 × 950,672
  4. Step 4: Simplify right side
    432,712x = 903,777,251,584
  5. Step 5: Solve for x
    x = 903,777,251,584/432,712
  6. Step 6: Final answer
    x = 2,088,634.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.