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Finding the Third Proportional to 203,614 and 438,442

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Solution

The third proportional to 203,614 and 438,442 is: 944,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,614 : 438,442 = 438,442 : x
  2. Step 2: Convert to fraction form
    203,614/438,442 = 438,442/x
  3. Step 3: Cross multiply
    203,614x = 438,442 × 438,442
  4. Step 4: Simplify right side
    203,614x = 192,231,387,364
  5. Step 5: Solve for x
    x = 192,231,387,364/203,614
  6. Step 6: Final answer
    x = 944,097.10

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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.