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Finding the Third Proportional to 282,601 and 423,906

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Solution

The third proportional to 282,601 and 423,906 is: 635,865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,601 : 423,906 = 423,906 : x
  2. Step 2: Convert to fraction form
    282,601/423,906 = 423,906/x
  3. Step 3: Cross multiply
    282,601x = 423,906 × 423,906
  4. Step 4: Simplify right side
    282,601x = 179,696,296,836
  5. Step 5: Solve for x
    x = 179,696,296,836/282,601
  6. Step 6: Final answer
    x = 635,865.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.