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Finding the Third Proportional to 200,650.50 and 433,566

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Solution

The third proportional to 200,650.50 and 433,566 is: 936,850.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,650.50 : 433,566 = 433,566 : x
  2. Step 2: Convert to fraction form
    200,650.50/433,566 = 433,566/x
  3. Step 3: Cross multiply
    200,650.50x = 433,566 × 433,566
  4. Step 4: Simplify right side
    200,650.50x = 187,979,476,356
  5. Step 5: Solve for x
    x = 187,979,476,356/200,650.50
  6. Step 6: Final answer
    x = 936,850.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.