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Finding the Third Proportional to 200,866 and 436,292

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Solution

The third proportional to 200,866 and 436,292 is: 947,650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,866 : 436,292 = 436,292 : x
  2. Step 2: Convert to fraction form
    200,866/436,292 = 436,292/x
  3. Step 3: Cross multiply
    200,866x = 436,292 × 436,292
  4. Step 4: Simplify right side
    200,866x = 190,350,709,264
  5. Step 5: Solve for x
    x = 190,350,709,264/200,866
  6. Step 6: Final answer
    x = 947,650.22

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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.