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Finding the Third Proportional to 437.25 and 1,014.94

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Solution

The third proportional to 437.25 and 1,014.94 is: 2,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.25 : 1,014.94 = 1,014.94 : x
  2. Step 2: Convert to fraction form
    437.25/1,014.94 = 1,014.94/x
  3. Step 3: Cross multiply
    437.25x = 1,014.94 × 1,014.94
  4. Step 4: Simplify right side
    437.25x = 1,030,098.13
  5. Step 5: Solve for x
    x = 1,030,098.13/437.25
  6. Step 6: Final answer
    x = 2,355.86

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.