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Finding the Third Proportional to 267,014.25 and 400,574.25

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Solution

The third proportional to 267,014.25 and 400,574.25 is: 600,940.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,014.25 : 400,574.25 = 400,574.25 : x
  2. Step 2: Convert to fraction form
    267,014.25/400,574.25 = 400,574.25/x
  3. Step 3: Cross multiply
    267,014.25x = 400,574.25 × 400,574.25
  4. Step 4: Simplify right side
    267,014.25x = 160,459,729,763.06
  5. Step 5: Solve for x
    x = 160,459,729,763.06/267,014.25
  6. Step 6: Final answer
    x = 600,940.70

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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.