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Finding the Third Proportional to 401,100 and 601,736.50

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Solution

The third proportional to 401,100 and 601,736.50 is: 902,734.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,100 : 601,736.50 = 601,736.50 : x
  2. Step 2: Convert to fraction form
    401,100/601,736.50 = 601,736.50/x
  3. Step 3: Cross multiply
    401,100x = 601,736.50 × 601,736.50
  4. Step 4: Simplify right side
    401,100x = 362,086,815,432.25
  5. Step 5: Solve for x
    x = 362,086,815,432.25/401,100
  6. Step 6: Final answer
    x = 902,734.52

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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.