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Finding the Third Proportional to 203,883 and 441,365

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Solution

The third proportional to 203,883 and 441,365 is: 955,464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,883 : 441,365 = 441,365 : x
  2. Step 2: Convert to fraction form
    203,883/441,365 = 441,365/x
  3. Step 3: Cross multiply
    203,883x = 441,365 × 441,365
  4. Step 4: Simplify right side
    203,883x = 194,803,063,225
  5. Step 5: Solve for x
    x = 194,803,063,225/203,883
  6. Step 6: Final answer
    x = 955,464.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.