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Finding the Third Proportional to 504,606 and 759,015

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Solution

The third proportional to 504,606 and 759,015 is: 1,141,690.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,606 : 759,015 = 759,015 : x
  2. Step 2: Convert to fraction form
    504,606/759,015 = 759,015/x
  3. Step 3: Cross multiply
    504,606x = 759,015 × 759,015
  4. Step 4: Simplify right side
    504,606x = 576,103,770,225
  5. Step 5: Solve for x
    x = 576,103,770,225/504,606
  6. Step 6: Final answer
    x = 1,141,690.29

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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.