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Finding the Third Proportional to 203,943 and 437,411

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Solution

The third proportional to 203,943 and 437,411 is: 938,146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,943 : 437,411 = 437,411 : x
  2. Step 2: Convert to fraction form
    203,943/437,411 = 437,411/x
  3. Step 3: Cross multiply
    203,943x = 437,411 × 437,411
  4. Step 4: Simplify right side
    203,943x = 191,328,382,921
  5. Step 5: Solve for x
    x = 191,328,382,921/203,943
  6. Step 6: Final answer
    x = 938,146.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.