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Finding the Third Proportional to 199,287 and 433,564.50

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Solution

The third proportional to 199,287 and 433,564.50 is: 943,253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,287 : 433,564.50 = 433,564.50 : x
  2. Step 2: Convert to fraction form
    199,287/433,564.50 = 433,564.50/x
  3. Step 3: Cross multiply
    199,287x = 433,564.50 × 433,564.50
  4. Step 4: Simplify right side
    199,287x = 187,978,175,660.25
  5. Step 5: Solve for x
    x = 187,978,175,660.25/199,287
  6. Step 6: Final answer
    x = 943,253.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.