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Finding the Third Proportional to 203,484 and 437,064

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Solution

The third proportional to 203,484 and 437,064 is: 938,771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,484 : 437,064 = 437,064 : x
  2. Step 2: Convert to fraction form
    203,484/437,064 = 437,064/x
  3. Step 3: Cross multiply
    203,484x = 437,064 × 437,064
  4. Step 4: Simplify right side
    203,484x = 191,024,940,096
  5. Step 5: Solve for x
    x = 191,024,940,096/203,484
  6. Step 6: Final answer
    x = 938,771.30

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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.