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Finding the Third Proportional to 432,936.56 and 679,145.34

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Solution

The third proportional to 432,936.56 and 679,145.34 is: 1,065,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,936.56 : 679,145.34 = 679,145.34 : x
  2. Step 2: Convert to fraction form
    432,936.56/679,145.34 = 679,145.34/x
  3. Step 3: Cross multiply
    432,936.56x = 679,145.34 × 679,145.34
  4. Step 4: Simplify right side
    432,936.56x = 461,238,397,937.31
  5. Step 5: Solve for x
    x = 461,238,397,937.31/432,936.56
  6. Step 6: Final answer
    x = 1,065,371.78

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.