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Finding the Third Proportional to 200,535.75 and 436,351.50

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Solution

The third proportional to 200,535.75 and 436,351.50 is: 949,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,535.75 : 436,351.50 = 436,351.50 : x
  2. Step 2: Convert to fraction form
    200,535.75/436,351.50 = 436,351.50/x
  3. Step 3: Cross multiply
    200,535.75x = 436,351.50 × 436,351.50
  4. Step 4: Simplify right side
    200,535.75x = 190,402,631,552.25
  5. Step 5: Solve for x
    x = 190,402,631,552.25/200,535.75
  6. Step 6: Final answer
    x = 949,469.77

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Why These Related Problems?

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