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Finding the Third Proportional to 401,097 and 601,734

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Solution

The third proportional to 401,097 and 601,734 is: 902,733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,097 : 601,734 = 601,734 : x
  2. Step 2: Convert to fraction form
    401,097/601,734 = 601,734/x
  3. Step 3: Cross multiply
    401,097x = 601,734 × 601,734
  4. Step 4: Simplify right side
    401,097x = 362,083,806,756
  5. Step 5: Solve for x
    x = 362,083,806,756/401,097
  6. Step 6: Final answer
    x = 902,733.77

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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.