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Finding the Third Proportional to 281,828.25 and 437,064.75

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Solution

The third proportional to 281,828.25 and 437,064.75 is: 677,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,828.25 : 437,064.75 = 437,064.75 : x
  2. Step 2: Convert to fraction form
    281,828.25/437,064.75 = 437,064.75/x
  3. Step 3: Cross multiply
    281,828.25x = 437,064.75 × 437,064.75
  4. Step 4: Simplify right side
    281,828.25x = 191,025,595,692.56
  5. Step 5: Solve for x
    x = 191,025,595,692.56/281,828.25
  6. Step 6: Final answer
    x = 677,808.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.