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Finding the Third Proportional to 235,105 and 554,903

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Solution

The third proportional to 235,105 and 554,903 is: 1,309,701.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,105 : 554,903 = 554,903 : x
  2. Step 2: Convert to fraction form
    235,105/554,903 = 554,903/x
  3. Step 3: Cross multiply
    235,105x = 554,903 × 554,903
  4. Step 4: Simplify right side
    235,105x = 307,917,339,409
  5. Step 5: Solve for x
    x = 307,917,339,409/235,105
  6. Step 6: Final answer
    x = 1,309,701.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.