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Finding the Third Proportional to 201,440 and 437,824

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Solution

The third proportional to 201,440 and 437,824 is: 951,597.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,440 : 437,824 = 437,824 : x
  2. Step 2: Convert to fraction form
    201,440/437,824 = 437,824/x
  3. Step 3: Cross multiply
    201,440x = 437,824 × 437,824
  4. Step 4: Simplify right side
    201,440x = 191,689,854,976
  5. Step 5: Solve for x
    x = 191,689,854,976/201,440
  6. Step 6: Final answer
    x = 951,597.77

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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.