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Finding the Third Proportional to 199,634.88 and 432,965.75

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Solution

The third proportional to 199,634.88 and 432,965.75 is: 939,010.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,634.88 : 432,965.75 = 432,965.75 : x
  2. Step 2: Convert to fraction form
    199,634.88/432,965.75 = 432,965.75/x
  3. Step 3: Cross multiply
    199,634.88x = 432,965.75 × 432,965.75
  4. Step 4: Simplify right side
    199,634.88x = 187,459,340,673.06
  5. Step 5: Solve for x
    x = 187,459,340,673.06/199,634.88
  6. Step 6: Final answer
    x = 939,010.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.