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Finding the Third Proportional to 400,841.50 and 601,789.50

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Solution

The third proportional to 400,841.50 and 601,789.50 is: 903,475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,841.50 : 601,789.50 = 601,789.50 : x
  2. Step 2: Convert to fraction form
    400,841.50/601,789.50 = 601,789.50/x
  3. Step 3: Cross multiply
    400,841.50x = 601,789.50 × 601,789.50
  4. Step 4: Simplify right side
    400,841.50x = 362,150,602,310.25
  5. Step 5: Solve for x
    x = 362,150,602,310.25/400,841.50
  6. Step 6: Final answer
    x = 903,475.82

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