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Finding the Third Proportional to 200,504 and 431,140

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Solution

The third proportional to 200,504 and 431,140 is: 927,072.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,504 : 431,140 = 431,140 : x
  2. Step 2: Convert to fraction form
    200,504/431,140 = 431,140/x
  3. Step 3: Cross multiply
    200,504x = 431,140 × 431,140
  4. Step 4: Simplify right side
    200,504x = 185,881,699,600
  5. Step 5: Solve for x
    x = 185,881,699,600/200,504
  6. Step 6: Final answer
    x = 927,072.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.