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Finding the Third Proportional to 202,326 and 437,455

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Solution

The third proportional to 202,326 and 437,455 is: 945,834.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,326 : 437,455 = 437,455 : x
  2. Step 2: Convert to fraction form
    202,326/437,455 = 437,455/x
  3. Step 3: Cross multiply
    202,326x = 437,455 × 437,455
  4. Step 4: Simplify right side
    202,326x = 191,366,877,025
  5. Step 5: Solve for x
    x = 191,366,877,025/202,326
  6. Step 6: Final answer
    x = 945,834.33

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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.