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Finding the Third Proportional to 200,797.50 and 436,587

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Solution

The third proportional to 200,797.50 and 436,587 is: 949,255.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,797.50 : 436,587 = 436,587 : x
  2. Step 2: Convert to fraction form
    200,797.50/436,587 = 436,587/x
  3. Step 3: Cross multiply
    200,797.50x = 436,587 × 436,587
  4. Step 4: Simplify right side
    200,797.50x = 190,608,208,569
  5. Step 5: Solve for x
    x = 190,608,208,569/200,797.50
  6. Step 6: Final answer
    x = 949,255.89

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Why These Related Problems?

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