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Finding the Third Proportional to 300,069 and 460,125

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Solution

The third proportional to 300,069 and 460,125 is: 705,554.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,069 : 460,125 = 460,125 : x
  2. Step 2: Convert to fraction form
    300,069/460,125 = 460,125/x
  3. Step 3: Cross multiply
    300,069x = 460,125 × 460,125
  4. Step 4: Simplify right side
    300,069x = 211,715,015,625
  5. Step 5: Solve for x
    x = 211,715,015,625/300,069
  6. Step 6: Final answer
    x = 705,554.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.